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Finding the Fourth Proportional to 255,110.31, 382,720.82 and 77,612.71

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Solution

The fourth proportional to 255,110.31, 382,720.82 and 77,612.71 is: 116,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,110.31 : 382,720.82 = 77,612.71 : x
  2. Step 2: Convert to fraction form
    255,110.31/382,720.82 = 77,612.71/x
  3. Step 3: Cross multiply
    255,110.31x = 382,720.82 × 77,612.71
  4. Step 4: Simplify right side
    255,110.31x = 29,703,998,100.02
  5. Step 5: Solve for x
    x = 29,703,998,100.02/255,110.31
  6. Step 6: Final answer
    x = 116,435.90

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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.