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Finding the Fourth Proportional to 75,309.72, 112,876.92 and 55,404

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Solution

The fourth proportional to 75,309.72, 112,876.92 and 55,404 is: 83,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,309.72 : 112,876.92 = 55,404 : x
  2. Step 2: Convert to fraction form
    75,309.72/112,876.92 = 55,404/x
  3. Step 3: Cross multiply
    75,309.72x = 112,876.92 × 55,404
  4. Step 4: Simplify right side
    75,309.72x = 6,253,832,875.68
  5. Step 5: Solve for x
    x = 6,253,832,875.68/75,309.72
  6. Step 6: Final answer
    x = 83,041.51

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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.