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Finding the Fourth Proportional to 254,891.76, 382,312.92 and 77,400.30

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Solution

The fourth proportional to 254,891.76, 382,312.92 and 77,400.30 is: 116,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,891.76 : 382,312.92 = 77,400.30 : x
  2. Step 2: Convert to fraction form
    254,891.76/382,312.92 = 77,400.30/x
  3. Step 3: Cross multiply
    254,891.76x = 382,312.92 × 77,400.30
  4. Step 4: Simplify right side
    254,891.76x = 29,591,134,701.88
  5. Step 5: Solve for x
    x = 29,591,134,701.88/254,891.76
  6. Step 6: Final answer
    x = 116,092.94

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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.