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Finding the Fourth Proportional to 157,766.74, 217,709.61 and 86,145.70

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Solution

The fourth proportional to 157,766.74, 217,709.61 and 86,145.70 is: 118,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,766.74 : 217,709.61 = 86,145.70 : x
  2. Step 2: Convert to fraction form
    157,766.74/217,709.61 = 86,145.70/x
  3. Step 3: Cross multiply
    157,766.74x = 217,709.61 × 86,145.70
  4. Step 4: Simplify right side
    157,766.74x = 18,754,746,750.18
  5. Step 5: Solve for x
    x = 18,754,746,750.18/157,766.74
  6. Step 6: Final answer
    x = 118,876.43

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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.