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Finding the Fourth Proportional to 157,151.74, 216,869.41 and 85,532.29

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Solution

The fourth proportional to 157,151.74, 216,869.41 and 85,532.29 is: 118,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,151.74 : 216,869.41 = 85,532.29 : x
  2. Step 2: Convert to fraction form
    157,151.74/216,869.41 = 85,532.29/x
  3. Step 3: Cross multiply
    157,151.74x = 216,869.41 × 85,532.29
  4. Step 4: Simplify right side
    157,151.74x = 18,549,335,970.07
  5. Step 5: Solve for x
    x = 18,549,335,970.07/157,151.74
  6. Step 6: Final answer
    x = 118,034.55

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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.