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Finding the Fourth Proportional to 71,748, 107,639.28 and 22,500

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Solution

The fourth proportional to 71,748, 107,639.28 and 22,500 is: 33,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,748 : 107,639.28 = 22,500 : x
  2. Step 2: Convert to fraction form
    71,748/107,639.28 = 22,500/x
  3. Step 3: Cross multiply
    71,748x = 107,639.28 × 22,500
  4. Step 4: Simplify right side
    71,748x = 2,421,883,800
  5. Step 5: Solve for x
    x = 2,421,883,800/71,748
  6. Step 6: Final answer
    x = 33,755.42

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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.