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Finding the Fourth Proportional to 51,472.56, 77,058.60 and 31,691.76

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Solution

The fourth proportional to 51,472.56, 77,058.60 and 31,691.76 is: 47,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,472.56 : 77,058.60 = 31,691.76 : x
  2. Step 2: Convert to fraction form
    51,472.56/77,058.60 = 31,691.76/x
  3. Step 3: Cross multiply
    51,472.56x = 77,058.60 × 31,691.76
  4. Step 4: Simplify right side
    51,472.56x = 2,442,122,657.14
  5. Step 5: Solve for x
    x = 2,442,122,657.14/51,472.56
  6. Step 6: Final answer
    x = 47,445.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.