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Finding the Fourth Proportional to 225,715.78, 311,487.78 and 125,113.78

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Solution

The fourth proportional to 225,715.78, 311,487.78 and 125,113.78 is: 172,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,715.78 : 311,487.78 = 125,113.78 : x
  2. Step 2: Convert to fraction form
    225,715.78/311,487.78 = 125,113.78/x
  3. Step 3: Cross multiply
    225,715.78x = 311,487.78 × 125,113.78
  4. Step 4: Simplify right side
    225,715.78x = 38,971,413,579.61
  5. Step 5: Solve for x
    x = 38,971,413,579.61/225,715.78
  6. Step 6: Final answer
    x = 172,657.02

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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.