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Finding the Fourth Proportional to 83,996, 126,013.44 and 28,592

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Solution

The fourth proportional to 83,996, 126,013.44 and 28,592 is: 42,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,996 : 126,013.44 = 28,592 : x
  2. Step 2: Convert to fraction form
    83,996/126,013.44 = 28,592/x
  3. Step 3: Cross multiply
    83,996x = 126,013.44 × 28,592
  4. Step 4: Simplify right side
    83,996x = 3,602,976,276.48
  5. Step 5: Solve for x
    x = 3,602,976,276.48/83,996
  6. Step 6: Final answer
    x = 42,894.62

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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.