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Finding the Fourth Proportional to 78,542.52, 117,821.97 and 45,300.12

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Solution

The fourth proportional to 78,542.52, 117,821.97 and 45,300.12 is: 67,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,542.52 : 117,821.97 = 45,300.12 : x
  2. Step 2: Convert to fraction form
    78,542.52/117,821.97 = 45,300.12/x
  3. Step 3: Cross multiply
    78,542.52x = 117,821.97 × 45,300.12
  4. Step 4: Simplify right side
    78,542.52x = 5,337,349,379.64
  5. Step 5: Solve for x
    x = 5,337,349,379.64/78,542.52
  6. Step 6: Final answer
    x = 67,954.90

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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.