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Finding the Fourth Proportional to 261,505.81, 391,921.53 and 126,538.16

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Solution

The fourth proportional to 261,505.81, 391,921.53 and 126,538.16 is: 189,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,505.81 : 391,921.53 = 126,538.16 : x
  2. Step 2: Convert to fraction form
    261,505.81/391,921.53 = 126,538.16/x
  3. Step 3: Cross multiply
    261,505.81x = 391,921.53 × 126,538.16
  4. Step 4: Simplify right side
    261,505.81x = 49,593,027,310.98
  5. Step 5: Solve for x
    x = 49,593,027,310.98/261,505.81
  6. Step 6: Final answer
    x = 189,644.08

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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.