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Finding the Fourth Proportional to 83,175.60, 124,768.80 and 43,809.60

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Solution

The fourth proportional to 83,175.60, 124,768.80 and 43,809.60 is: 65,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.60 : 124,768.80 = 43,809.60 : x
  2. Step 2: Convert to fraction form
    83,175.60/124,768.80 = 43,809.60/x
  3. Step 3: Cross multiply
    83,175.60x = 124,768.80 × 43,809.60
  4. Step 4: Simplify right side
    83,175.60x = 5,466,071,220.48
  5. Step 5: Solve for x
    x = 5,466,071,220.48/83,175.60
  6. Step 6: Final answer
    x = 65,717.24

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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.