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Finding the Fourth Proportional to 80,874.96, 121,325.64 and 25,458

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Solution

The fourth proportional to 80,874.96, 121,325.64 and 25,458 is: 38,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,874.96 : 121,325.64 = 25,458 : x
  2. Step 2: Convert to fraction form
    80,874.96/121,325.64 = 25,458/x
  3. Step 3: Cross multiply
    80,874.96x = 121,325.64 × 25,458
  4. Step 4: Simplify right side
    80,874.96x = 3,088,708,143.12
  5. Step 5: Solve for x
    x = 3,088,708,143.12/80,874.96
  6. Step 6: Final answer
    x = 38,191.16

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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.