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Finding the Fourth Proportional to 225,657, 311,406.66 and 125,061.48

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Solution

The fourth proportional to 225,657, 311,406.66 and 125,061.48 is: 172,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,657 : 311,406.66 = 125,061.48 : x
  2. Step 2: Convert to fraction form
    225,657/311,406.66 = 125,061.48/x
  3. Step 3: Cross multiply
    225,657x = 311,406.66 × 125,061.48
  4. Step 4: Simplify right side
    225,657x = 38,944,977,781.46
  5. Step 5: Solve for x
    x = 38,944,977,781.46/225,657
  6. Step 6: Final answer
    x = 172,584.84

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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.