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Finding the Fourth Proportional to 261,378.86, 392,119.31 and 83,872.22

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Solution

The fourth proportional to 261,378.86, 392,119.31 and 83,872.22 is: 125,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,378.86 : 392,119.31 = 83,872.22 : x
  2. Step 2: Convert to fraction form
    261,378.86/392,119.31 = 83,872.22/x
  3. Step 3: Cross multiply
    261,378.86x = 392,119.31 × 83,872.22
  4. Step 4: Simplify right side
    261,378.86x = 32,887,915,283.65
  5. Step 5: Solve for x
    x = 32,887,915,283.65/261,378.86
  6. Step 6: Final answer
    x = 125,824.70

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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.