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Finding the Fourth Proportional to 72,854.92, 109,253.64 and 35,403.90

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Solution

The fourth proportional to 72,854.92, 109,253.64 and 35,403.90 is: 53,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,854.92 : 109,253.64 = 35,403.90 : x
  2. Step 2: Convert to fraction form
    72,854.92/109,253.64 = 35,403.90/x
  3. Step 3: Cross multiply
    72,854.92x = 109,253.64 × 35,403.90
  4. Step 4: Simplify right side
    72,854.92x = 3,868,004,945.20
  5. Step 5: Solve for x
    x = 3,868,004,945.20/72,854.92
  6. Step 6: Final answer
    x = 53,091.88

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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.