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Finding the Fourth Proportional to 71,656.59, 107,472.88 and 21,724.75

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Solution

The fourth proportional to 71,656.59, 107,472.88 and 21,724.75 is: 32,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,656.59 : 107,472.88 = 21,724.75 : x
  2. Step 2: Convert to fraction form
    71,656.59/107,472.88 = 21,724.75/x
  3. Step 3: Cross multiply
    71,656.59x = 107,472.88 × 21,724.75
  4. Step 4: Simplify right side
    71,656.59x = 2,334,821,006.74
  5. Step 5: Solve for x
    x = 2,334,821,006.74/71,656.59
  6. Step 6: Final answer
    x = 32,583.48

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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.