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Finding the Fourth Proportional to 71,566.40, 107,257.80 and 39,976.40

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Solution

The fourth proportional to 71,566.40, 107,257.80 and 39,976.40 is: 59,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566.40 : 107,257.80 = 39,976.40 : x
  2. Step 2: Convert to fraction form
    71,566.40/107,257.80 = 39,976.40/x
  3. Step 3: Cross multiply
    71,566.40x = 107,257.80 × 39,976.40
  4. Step 4: Simplify right side
    71,566.40x = 4,287,780,715.92
  5. Step 5: Solve for x
    x = 4,287,780,715.92/71,566.40
  6. Step 6: Final answer
    x = 59,913.32

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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.