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Finding the Fourth Proportional to 123,614.40, 185,470.20 and 48,721.80

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Solution

The fourth proportional to 123,614.40, 185,470.20 and 48,721.80 is: 73,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,614.40 : 185,470.20 = 48,721.80 : x
  2. Step 2: Convert to fraction form
    123,614.40/185,470.20 = 48,721.80/x
  3. Step 3: Cross multiply
    123,614.40x = 185,470.20 × 48,721.80
  4. Step 4: Simplify right side
    123,614.40x = 9,036,441,990.36
  5. Step 5: Solve for x
    x = 9,036,441,990.36/123,614.40
  6. Step 6: Final answer
    x = 73,101.86

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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.