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Finding the Fourth Proportional to 83,897.20, 125,716.20 and 72,751.60

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Solution

The fourth proportional to 83,897.20, 125,716.20 and 72,751.60 is: 109,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897.20 : 125,716.20 = 72,751.60 : x
  2. Step 2: Convert to fraction form
    83,897.20/125,716.20 = 72,751.60/x
  3. Step 3: Cross multiply
    83,897.20x = 125,716.20 × 72,751.60
  4. Step 4: Simplify right side
    83,897.20x = 9,146,054,695.92
  5. Step 5: Solve for x
    x = 9,146,054,695.92/83,897.20
  6. Step 6: Final answer
    x = 109,015.02

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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.