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Finding the Fourth Proportional to 82,470.90, 123,743.22 and 47,410.58

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Solution

The fourth proportional to 82,470.90, 123,743.22 and 47,410.58 is: 71,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,470.90 : 123,743.22 = 47,410.58 : x
  2. Step 2: Convert to fraction form
    82,470.90/123,743.22 = 47,410.58/x
  3. Step 3: Cross multiply
    82,470.90x = 123,743.22 × 47,410.58
  4. Step 4: Simplify right side
    82,470.90x = 5,866,737,831.27
  5. Step 5: Solve for x
    x = 5,866,737,831.27/82,470.90
  6. Step 6: Final answer
    x = 71,137.07

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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.