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Finding the Fourth Proportional to 83,980.80, 125,825.40 and 54,383.40

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Solution

The fourth proportional to 83,980.80, 125,825.40 and 54,383.40 is: 81,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980.80 : 125,825.40 = 54,383.40 : x
  2. Step 2: Convert to fraction form
    83,980.80/125,825.40 = 54,383.40/x
  3. Step 3: Cross multiply
    83,980.80x = 125,825.40 × 54,383.40
  4. Step 4: Simplify right side
    83,980.80x = 6,842,813,058.36
  5. Step 5: Solve for x
    x = 6,842,813,058.36/83,980.80
  6. Step 6: Final answer
    x = 81,480.68

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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.