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Finding the Fourth Proportional to 83,089.70, 114,664.92 and 47,279.90

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Solution

The fourth proportional to 83,089.70, 114,664.92 and 47,279.90 is: 65,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089.70 : 114,664.92 = 47,279.90 : x
  2. Step 2: Convert to fraction form
    83,089.70/114,664.92 = 47,279.90/x
  3. Step 3: Cross multiply
    83,089.70x = 114,664.92 × 47,279.90
  4. Step 4: Simplify right side
    83,089.70x = 5,421,345,951.11
  5. Step 5: Solve for x
    x = 5,421,345,951.11/83,089.70
  6. Step 6: Final answer
    x = 65,246.91

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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.