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Finding the Fourth Proportional to 157,924.32, 217,929.36 and 86,305.20

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Solution

The fourth proportional to 157,924.32, 217,929.36 and 86,305.20 is: 119,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,924.32 : 217,929.36 = 86,305.20 : x
  2. Step 2: Convert to fraction form
    157,924.32/217,929.36 = 86,305.20/x
  3. Step 3: Cross multiply
    157,924.32x = 217,929.36 × 86,305.20
  4. Step 4: Simplify right side
    157,924.32x = 18,808,437,000.67
  5. Step 5: Solve for x
    x = 18,808,437,000.67/157,924.32
  6. Step 6: Final answer
    x = 119,097.79

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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.