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Finding the Fourth Proportional to 261,505.74, 392,206.96 and 71,917.19

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Solution

The fourth proportional to 261,505.74, 392,206.96 and 71,917.19 is: 107,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,505.74 : 392,206.96 = 71,917.19 : x
  2. Step 2: Convert to fraction form
    261,505.74/392,206.96 = 71,917.19/x
  3. Step 3: Cross multiply
    261,505.74x = 392,206.96 × 71,917.19
  4. Step 4: Simplify right side
    261,505.74x = 28,206,422,461.64
  5. Step 5: Solve for x
    x = 28,206,422,461.64/261,505.74
  6. Step 6: Final answer
    x = 107,861.58

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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.