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Finding the Fourth Proportional to 115,165.16, 158,843.32 and 76,332.76

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Solution

The fourth proportional to 115,165.16, 158,843.32 and 76,332.76 is: 105,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,165.16 : 158,843.32 = 76,332.76 : x
  2. Step 2: Convert to fraction form
    115,165.16/158,843.32 = 76,332.76/x
  3. Step 3: Cross multiply
    115,165.16x = 158,843.32 × 76,332.76
  4. Step 4: Simplify right side
    115,165.16x = 12,124,949,023.16
  5. Step 5: Solve for x
    x = 12,124,949,023.16/115,165.16
  6. Step 6: Final answer
    x = 105,283.13

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1.5x scale

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.