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Finding the Fourth Proportional to 225,400.13, 311,061.90 and 124,798.13

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Solution

The fourth proportional to 225,400.13, 311,061.90 and 124,798.13 is: 172,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,400.13 : 311,061.90 = 124,798.13 : x
  2. Step 2: Convert to fraction form
    225,400.13/311,061.90 = 124,798.13/x
  3. Step 3: Cross multiply
    225,400.13x = 311,061.90 × 124,798.13
  4. Step 4: Simplify right side
    225,400.13x = 38,819,941,878.94
  5. Step 5: Solve for x
    x = 38,819,941,878.94/225,400.13
  6. Step 6: Final answer
    x = 172,226.80

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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.