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Finding the Fourth Proportional to 255,287.60, 382,971.92 and 77,753.44

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Solution

The fourth proportional to 255,287.60, 382,971.92 and 77,753.44 is: 116,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,287.60 : 382,971.92 = 77,753.44 : x
  2. Step 2: Convert to fraction form
    255,287.60/382,971.92 = 77,753.44/x
  3. Step 3: Cross multiply
    255,287.60x = 382,971.92 × 77,753.44
  4. Step 4: Simplify right side
    255,287.60x = 29,777,384,203.40
  5. Step 5: Solve for x
    x = 29,777,384,203.40/255,287.60
  6. Step 6: Final answer
    x = 116,642.50

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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.