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Finding the Fourth Proportional to 71,836.34, 99,127.80 and 41,612

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Solution

The fourth proportional to 71,836.34, 99,127.80 and 41,612 is: 57,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,836.34 : 99,127.80 = 41,612 : x
  2. Step 2: Convert to fraction form
    71,836.34/99,127.80 = 41,612/x
  3. Step 3: Cross multiply
    71,836.34x = 99,127.80 × 41,612
  4. Step 4: Simplify right side
    71,836.34x = 4,124,906,013.60
  5. Step 5: Solve for x
    x = 4,124,906,013.60/71,836.34
  6. Step 6: Final answer
    x = 57,420.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.