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Finding the Fourth Proportional to 75,039.92, 112,565.80 and 25,120.20

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Solution

The fourth proportional to 75,039.92, 112,565.80 and 25,120.20 is: 37,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,039.92 : 112,565.80 = 25,120.20 : x
  2. Step 2: Convert to fraction form
    75,039.92/112,565.80 = 25,120.20/x
  3. Step 3: Cross multiply
    75,039.92x = 112,565.80 × 25,120.20
  4. Step 4: Simplify right side
    75,039.92x = 2,827,675,409.16
  5. Step 5: Solve for x
    x = 2,827,675,409.16/75,039.92
  6. Step 6: Final answer
    x = 37,682.28

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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.