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Finding the Fourth Proportional to 83,897.76, 125,699.02 and 78,903.20

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Solution

The fourth proportional to 83,897.76, 125,699.02 and 78,903.20 is: 118,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897.76 : 125,699.02 = 78,903.20 : x
  2. Step 2: Convert to fraction form
    83,897.76/125,699.02 = 78,903.20/x
  3. Step 3: Cross multiply
    83,897.76x = 125,699.02 × 78,903.20
  4. Step 4: Simplify right side
    83,897.76x = 9,918,053,891.85
  5. Step 5: Solve for x
    x = 9,918,053,891.85/83,897.76
  6. Step 6: Final answer
    x = 118,215.96

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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.