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Finding the Fourth Proportional to 83,123.54, 114,711.22 and 47,315.86

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Solution

The fourth proportional to 83,123.54, 114,711.22 and 47,315.86 is: 65,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,123.54 : 114,711.22 = 47,315.86 : x
  2. Step 2: Convert to fraction form
    83,123.54/114,711.22 = 47,315.86/x
  3. Step 3: Cross multiply
    83,123.54x = 114,711.22 × 47,315.86
  4. Step 4: Simplify right side
    83,123.54x = 5,427,660,025.95
  5. Step 5: Solve for x
    x = 5,427,660,025.95/83,123.54
  6. Step 6: Final answer
    x = 65,296.31

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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.