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Finding the Fourth Proportional to 75,375.36, 112,829.76 and 64,177.92

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Solution

The fourth proportional to 75,375.36, 112,829.76 and 64,177.92 is: 96,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,375.36 : 112,829.76 = 64,177.92 : x
  2. Step 2: Convert to fraction form
    75,375.36/112,829.76 = 64,177.92/x
  3. Step 3: Cross multiply
    75,375.36x = 112,829.76 × 64,177.92
  4. Step 4: Simplify right side
    75,375.36x = 7,241,179,310.90
  5. Step 5: Solve for x
    x = 7,241,179,310.90/75,375.36
  6. Step 6: Final answer
    x = 96,068.26

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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.