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Finding the Fourth Proportional to 261,381.11, 392,122.71 and 83,874.47

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Solution

The fourth proportional to 261,381.11, 392,122.71 and 83,874.47 is: 125,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,381.11 : 392,122.71 = 83,874.47 : x
  2. Step 2: Convert to fraction form
    261,381.11/392,122.71 = 83,874.47/x
  3. Step 3: Cross multiply
    261,381.11x = 392,122.71 × 83,874.47
  4. Step 4: Simplify right side
    261,381.11x = 32,889,082,515.60
  5. Step 5: Solve for x
    x = 32,889,082,515.60/261,381.11
  6. Step 6: Final answer
    x = 125,828.08

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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.