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Finding the Fourth Proportional to 72,919.10, 109,378.65 and 26,165.90

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Solution

The fourth proportional to 72,919.10, 109,378.65 and 26,165.90 is: 39,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,919.10 : 109,378.65 = 26,165.90 : x
  2. Step 2: Convert to fraction form
    72,919.10/109,378.65 = 26,165.90/x
  3. Step 3: Cross multiply
    72,919.10x = 109,378.65 × 26,165.90
  4. Step 4: Simplify right side
    72,919.10x = 2,861,990,818.04
  5. Step 5: Solve for x
    x = 2,861,990,818.04/72,919.10
  6. Step 6: Final answer
    x = 39,248.85

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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.