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Finding the Fourth Proportional to 157,456.17, 217,365.81 and 100,139.46

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Solution

The fourth proportional to 157,456.17, 217,365.81 and 100,139.46 is: 138,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,456.17 : 217,365.81 = 100,139.46 : x
  2. Step 2: Convert to fraction form
    157,456.17/217,365.81 = 100,139.46/x
  3. Step 3: Cross multiply
    157,456.17x = 217,365.81 × 100,139.46
  4. Step 4: Simplify right side
    157,456.17x = 21,766,894,835.86
  5. Step 5: Solve for x
    x = 21,766,894,835.86/157,456.17
  6. Step 6: Final answer
    x = 138,240.98

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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.