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Finding the Fourth Proportional to 157,855.74, 217,801.89 and 101,343.66

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Solution

The fourth proportional to 157,855.74, 217,801.89 and 101,343.66 is: 139,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,855.74 : 217,801.89 = 101,343.66 : x
  2. Step 2: Convert to fraction form
    157,855.74/217,801.89 = 101,343.66/x
  3. Step 3: Cross multiply
    157,855.74x = 217,801.89 × 101,343.66
  4. Step 4: Simplify right side
    157,855.74x = 22,072,840,687.52
  5. Step 5: Solve for x
    x = 22,072,840,687.52/157,855.74
  6. Step 6: Final answer
    x = 139,829.19

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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.