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Finding the Fourth Proportional to 115,314.64, 159,128.12 and 64,332.70

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Solution

The fourth proportional to 115,314.64, 159,128.12 and 64,332.70 is: 88,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,314.64 : 159,128.12 = 64,332.70 : x
  2. Step 2: Convert to fraction form
    115,314.64/159,128.12 = 64,332.70/x
  3. Step 3: Cross multiply
    115,314.64x = 159,128.12 × 64,332.70
  4. Step 4: Simplify right side
    115,314.64x = 10,237,141,605.52
  5. Step 5: Solve for x
    x = 10,237,141,605.52/115,314.64
  6. Step 6: Final answer
    x = 88,775.73

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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.