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Finding the Fourth Proportional to 83,881.20, 125,821.80 and 79,993.20

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Solution

The fourth proportional to 83,881.20, 125,821.80 and 79,993.20 is: 119,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,881.20 : 125,821.80 = 79,993.20 : x
  2. Step 2: Convert to fraction form
    83,881.20/125,821.80 = 79,993.20/x
  3. Step 3: Cross multiply
    83,881.20x = 125,821.80 × 79,993.20
  4. Step 4: Simplify right side
    83,881.20x = 10,064,888,411.76
  5. Step 5: Solve for x
    x = 10,064,888,411.76/83,881.20
  6. Step 6: Final answer
    x = 119,989.80

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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.