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Finding the Fourth Proportional to 71,542.56, 98,660.52 and 42,857.52

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Solution

The fourth proportional to 71,542.56, 98,660.52 and 42,857.52 is: 59,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,542.56 : 98,660.52 = 42,857.52 : x
  2. Step 2: Convert to fraction form
    71,542.56/98,660.52 = 42,857.52/x
  3. Step 3: Cross multiply
    71,542.56x = 98,660.52 × 42,857.52
  4. Step 4: Simplify right side
    71,542.56x = 4,228,345,209.11
  5. Step 5: Solve for x
    x = 4,228,345,209.11/71,542.56
  6. Step 6: Final answer
    x = 59,102.51

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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.