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Finding the Fourth Proportional to 254,761.17, 382,142.67 and 77,269.71

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Solution

The fourth proportional to 254,761.17, 382,142.67 and 77,269.71 is: 115,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,761.17 : 382,142.67 = 77,269.71 : x
  2. Step 2: Convert to fraction form
    254,761.17/382,142.67 = 77,269.71/x
  3. Step 3: Cross multiply
    254,761.17x = 382,142.67 × 77,269.71
  4. Step 4: Simplify right side
    254,761.17x = 29,528,053,289.53
  5. Step 5: Solve for x
    x = 29,528,053,289.53/254,761.17
  6. Step 6: Final answer
    x = 115,904.84

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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.