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Finding the Fourth Proportional to 75,100.40, 112,535.40 and 65,193.20

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Solution

The fourth proportional to 75,100.40, 112,535.40 and 65,193.20 is: 97,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,100.40 : 112,535.40 = 65,193.20 : x
  2. Step 2: Convert to fraction form
    75,100.40/112,535.40 = 65,193.20/x
  3. Step 3: Cross multiply
    75,100.40x = 112,535.40 × 65,193.20
  4. Step 4: Simplify right side
    75,100.40x = 7,336,542,839.28
  5. Step 5: Solve for x
    x = 7,336,542,839.28/75,100.40
  6. Step 6: Final answer
    x = 97,689.80

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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.