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Finding the Fourth Proportional to 225,264.80, 337,972.32 and 75,520

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Solution

The fourth proportional to 225,264.80, 337,972.32 and 75,520 is: 113,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,264.80 : 337,972.32 = 75,520 : x
  2. Step 2: Convert to fraction form
    225,264.80/337,972.32 = 75,520/x
  3. Step 3: Cross multiply
    225,264.80x = 337,972.32 × 75,520
  4. Step 4: Simplify right side
    225,264.80x = 25,523,669,606.40
  5. Step 5: Solve for x
    x = 25,523,669,606.40/225,264.80
  6. Step 6: Final answer
    x = 113,305.18

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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.