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Finding the Fourth Proportional to 254,882.88, 382,299.57 and 77,391.41

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Solution

The fourth proportional to 254,882.88, 382,299.57 and 77,391.41 is: 116,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,882.88 : 382,299.57 = 77,391.41 : x
  2. Step 2: Convert to fraction form
    254,882.88/382,299.57 = 77,391.41/x
  3. Step 3: Cross multiply
    254,882.88x = 382,299.57 × 77,391.41
  4. Step 4: Simplify right side
    254,882.88x = 29,586,700,853.20
  5. Step 5: Solve for x
    x = 29,586,700,853.20/254,882.88
  6. Step 6: Final answer
    x = 116,079.59

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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.