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Finding the Fourth Proportional to 121,755.80, 182,648.28 and 51,626

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Solution

The fourth proportional to 121,755.80, 182,648.28 and 51,626 is: 77,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,755.80 : 182,648.28 = 51,626 : x
  2. Step 2: Convert to fraction form
    121,755.80/182,648.28 = 51,626/x
  3. Step 3: Cross multiply
    121,755.80x = 182,648.28 × 51,626
  4. Step 4: Simplify right side
    121,755.80x = 9,429,400,103.28
  5. Step 5: Solve for x
    x = 9,429,400,103.28/121,755.80
  6. Step 6: Final answer
    x = 77,445.18

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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.