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Finding the Fourth Proportional to 200,084,767.64, 276,145,978.12 and 115,295,390.70

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Solution

The fourth proportional to 200,084,767.64, 276,145,978.12 and 115,295,390.70 is: 159,124,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,084,767.64 : 276,145,978.12 = 115,295,390.70 : x
  2. Step 2: Convert to fraction form
    200,084,767.64/276,145,978.12 = 115,295,390.70/x
  3. Step 3: Cross multiply
    200,084,767.64x = 276,145,978.12 × 115,295,390.70
  4. Step 4: Simplify right side
    200,084,767.64x = 31,838,358,437,579,052
  5. Step 5: Solve for x
    x = 31,838,358,437,579,052/200,084,767.64
  6. Step 6: Final answer
    x = 159,124,349.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.