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Finding the Fourth Proportional to 225,147, 337,720.40 and 84,872.82

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Solution

The fourth proportional to 225,147, 337,720.40 and 84,872.82 is: 127,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,147 : 337,720.40 = 84,872.82 : x
  2. Step 2: Convert to fraction form
    225,147/337,720.40 = 84,872.82/x
  3. Step 3: Cross multiply
    225,147x = 337,720.40 × 84,872.82
  4. Step 4: Simplify right side
    225,147x = 28,663,282,719.53
  5. Step 5: Solve for x
    x = 28,663,282,719.53/225,147
  6. Step 6: Final answer
    x = 127,309.19

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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.