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Finding the Fourth Proportional to 225,825.15, 311,638.71 and 125,223.15

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Solution

The fourth proportional to 225,825.15, 311,638.71 and 125,223.15 is: 172,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,825.15 : 311,638.71 = 125,223.15 : x
  2. Step 2: Convert to fraction form
    225,825.15/311,638.71 = 125,223.15/x
  3. Step 3: Cross multiply
    225,825.15x = 311,638.71 × 125,223.15
  4. Step 4: Simplify right side
    225,825.15x = 39,024,381,687.89
  5. Step 5: Solve for x
    x = 39,024,381,687.89/225,825.15
  6. Step 6: Final answer
    x = 172,807.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.