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Finding the Fourth Proportional to 229,987.40, 344,981.10 and 80,177.90

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Solution

The fourth proportional to 229,987.40, 344,981.10 and 80,177.90 is: 120,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,987.40 : 344,981.10 = 80,177.90 : x
  2. Step 2: Convert to fraction form
    229,987.40/344,981.10 = 80,177.90/x
  3. Step 3: Cross multiply
    229,987.40x = 344,981.10 × 80,177.90
  4. Step 4: Simplify right side
    229,987.40x = 27,659,860,137.69
  5. Step 5: Solve for x
    x = 27,659,860,137.69/229,987.40
  6. Step 6: Final answer
    x = 120,266.85

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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.