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Finding the Fourth Proportional to 83,980.80, 125,971.20 and 41,990.40

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Solution

The fourth proportional to 83,980.80, 125,971.20 and 41,990.40 is: 62,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980.80 : 125,971.20 = 41,990.40 : x
  2. Step 2: Convert to fraction form
    83,980.80/125,971.20 = 41,990.40/x
  3. Step 3: Cross multiply
    83,980.80x = 125,971.20 × 41,990.40
  4. Step 4: Simplify right side
    83,980.80x = 5,289,581,076.48
  5. Step 5: Solve for x
    x = 5,289,581,076.48/83,980.80
  6. Step 6: Final answer
    x = 62,985.60

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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.