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Finding the Fourth Proportional to 75,290, 112,906.24 and 25,356.68

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Solution

The fourth proportional to 75,290, 112,906.24 and 25,356.68 is: 38,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,290 : 112,906.24 = 25,356.68 : x
  2. Step 2: Convert to fraction form
    75,290/112,906.24 = 25,356.68/x
  3. Step 3: Cross multiply
    75,290x = 112,906.24 × 25,356.68
  4. Step 4: Simplify right side
    75,290x = 2,862,927,397.68
  5. Step 5: Solve for x
    x = 2,862,927,397.68/75,290
  6. Step 6: Final answer
    x = 38,025.33

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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.