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Finding the Fourth Proportional to 157,753.26, 217,697.85 and 86,133.06

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Solution

The fourth proportional to 157,753.26, 217,697.85 and 86,133.06 is: 118,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,753.26 : 217,697.85 = 86,133.06 : x
  2. Step 2: Convert to fraction form
    157,753.26/217,697.85 = 86,133.06/x
  3. Step 3: Cross multiply
    157,753.26x = 217,697.85 × 86,133.06
  4. Step 4: Simplify right side
    157,753.26x = 18,750,981,975.92
  5. Step 5: Solve for x
    x = 18,750,981,975.92/157,753.26
  6. Step 6: Final answer
    x = 118,862.72

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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.