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Finding the Fourth Proportional to 84,301.52, 126,470.80 and 31,711.02

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Solution

The fourth proportional to 84,301.52, 126,470.80 and 31,711.02 is: 47,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,301.52 : 126,470.80 = 31,711.02 : x
  2. Step 2: Convert to fraction form
    84,301.52/126,470.80 = 31,711.02/x
  3. Step 3: Cross multiply
    84,301.52x = 126,470.80 × 31,711.02
  4. Step 4: Simplify right side
    84,301.52x = 4,010,518,068.22
  5. Step 5: Solve for x
    x = 4,010,518,068.22/84,301.52
  6. Step 6: Final answer
    x = 47,573.50

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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.