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Finding the Fourth Proportional to 255,213.28, 382,877.07 and 77,734.18

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Solution

The fourth proportional to 255,213.28, 382,877.07 and 77,734.18 is: 116,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,213.28 : 382,877.07 = 77,734.18 : x
  2. Step 2: Convert to fraction form
    255,213.28/382,877.07 = 77,734.18/x
  3. Step 3: Cross multiply
    255,213.28x = 382,877.07 × 77,734.18
  4. Step 4: Simplify right side
    255,213.28x = 29,762,635,077.25
  5. Step 5: Solve for x
    x = 29,762,635,077.25/255,213.28
  6. Step 6: Final answer
    x = 116,618.68

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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.