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Finding the Fourth Proportional to 75,177.38, 103,684.92 and 48,322.64

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Solution

The fourth proportional to 75,177.38, 103,684.92 and 48,322.64 is: 66,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,177.38 : 103,684.92 = 48,322.64 : x
  2. Step 2: Convert to fraction form
    75,177.38/103,684.92 = 48,322.64/x
  3. Step 3: Cross multiply
    75,177.38x = 103,684.92 × 48,322.64
  4. Step 4: Simplify right side
    75,177.38x = 5,010,329,062.59
  5. Step 5: Solve for x
    x = 5,010,329,062.59/75,177.38
  6. Step 6: Final answer
    x = 66,646.76

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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.