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Finding the Fourth Proportional to 75,171.60, 103,689.60 and 48,348.96

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Solution

The fourth proportional to 75,171.60, 103,689.60 and 48,348.96 is: 66,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,171.60 : 103,689.60 = 48,348.96 : x
  2. Step 2: Convert to fraction form
    75,171.60/103,689.60 = 48,348.96/x
  3. Step 3: Cross multiply
    75,171.60x = 103,689.60 × 48,348.96
  4. Step 4: Simplify right side
    75,171.60x = 5,013,284,322.82
  5. Step 5: Solve for x
    x = 5,013,284,322.82/75,171.60
  6. Step 6: Final answer
    x = 66,691.20

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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.