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Finding the Fourth Proportional to 81,966.30, 123,064.65 and 50,862.30

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Solution

The fourth proportional to 81,966.30, 123,064.65 and 50,862.30 is: 76,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,966.30 : 123,064.65 = 50,862.30 : x
  2. Step 2: Convert to fraction form
    81,966.30/123,064.65 = 50,862.30/x
  3. Step 3: Cross multiply
    81,966.30x = 123,064.65 × 50,862.30
  4. Step 4: Simplify right side
    81,966.30x = 6,259,351,147.70
  5. Step 5: Solve for x
    x = 6,259,351,147.70/81,966.30
  6. Step 6: Final answer
    x = 76,364.93

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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.