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Finding the Fourth Proportional to 157,408.76, 217,221.12 and 85,789.28

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Solution

The fourth proportional to 157,408.76, 217,221.12 and 85,789.28 is: 118,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,408.76 : 217,221.12 = 85,789.28 : x
  2. Step 2: Convert to fraction form
    157,408.76/217,221.12 = 85,789.28/x
  3. Step 3: Cross multiply
    157,408.76x = 217,221.12 × 85,789.28
  4. Step 4: Simplify right side
    157,408.76x = 18,635,243,485.59
  5. Step 5: Solve for x
    x = 18,635,243,485.59/157,408.76
  6. Step 6: Final answer
    x = 118,387.59

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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.