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Finding the Fourth Proportional to 71,782.40, 107,663.36 and 22,528

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Solution

The fourth proportional to 71,782.40, 107,663.36 and 22,528 is: 33,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,782.40 : 107,663.36 = 22,528 : x
  2. Step 2: Convert to fraction form
    71,782.40/107,663.36 = 22,528/x
  3. Step 3: Cross multiply
    71,782.40x = 107,663.36 × 22,528
  4. Step 4: Simplify right side
    71,782.40x = 2,425,440,174.08
  5. Step 5: Solve for x
    x = 2,425,440,174.08/71,782.40
  6. Step 6: Final answer
    x = 33,788.79

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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.