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Finding the Fourth Proportional to 261,367.61, 392,102.46 and 83,860.97

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Solution

The fourth proportional to 261,367.61, 392,102.46 and 83,860.97 is: 125,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,367.61 : 392,102.46 = 83,860.97 : x
  2. Step 2: Convert to fraction form
    261,367.61/392,102.46 = 83,860.97/x
  3. Step 3: Cross multiply
    261,367.61x = 392,102.46 × 83,860.97
  4. Step 4: Simplify right side
    261,367.61x = 32,882,090,674.47
  5. Step 5: Solve for x
    x = 32,882,090,674.47/261,367.61
  6. Step 6: Final answer
    x = 125,807.83

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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.