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Finding the Fourth Proportional to 157,129.74, 216,843.01 and 85,513.73

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Solution

The fourth proportional to 157,129.74, 216,843.01 and 85,513.73 is: 118,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,129.74 : 216,843.01 = 85,513.73 : x
  2. Step 2: Convert to fraction form
    157,129.74/216,843.01 = 85,513.73/x
  3. Step 3: Cross multiply
    157,129.74x = 216,843.01 × 85,513.73
  4. Step 4: Simplify right side
    157,129.74x = 18,543,053,311.53
  5. Step 5: Solve for x
    x = 18,543,053,311.53/157,129.74
  6. Step 6: Final answer
    x = 118,011.10

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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.