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Finding the Fourth Proportional to 75,002.64, 103,640.52 and 71,358.80

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Solution

The fourth proportional to 75,002.64, 103,640.52 and 71,358.80 is: 98,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,002.64 : 103,640.52 = 71,358.80 : x
  2. Step 2: Convert to fraction form
    75,002.64/103,640.52 = 71,358.80/x
  3. Step 3: Cross multiply
    75,002.64x = 103,640.52 × 71,358.80
  4. Step 4: Simplify right side
    75,002.64x = 7,395,663,138.58
  5. Step 5: Solve for x
    x = 7,395,663,138.58/75,002.64
  6. Step 6: Final answer
    x = 98,605.37

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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.