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Finding the Fourth Proportional to 71,788, 107,686.32 and 22,540

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Solution

The fourth proportional to 71,788, 107,686.32 and 22,540 is: 33,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,788 : 107,686.32 = 22,540 : x
  2. Step 2: Convert to fraction form
    71,788/107,686.32 = 22,540/x
  3. Step 3: Cross multiply
    71,788x = 107,686.32 × 22,540
  4. Step 4: Simplify right side
    71,788x = 2,427,249,652.80
  5. Step 5: Solve for x
    x = 2,427,249,652.80/71,788
  6. Step 6: Final answer
    x = 33,811.36

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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.