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Finding the Fourth Proportional to 102,591.20, 153,865.20 and 43,428.80

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Solution

The fourth proportional to 102,591.20, 153,865.20 and 43,428.80 is: 65,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,591.20 : 153,865.20 = 43,428.80 : x
  2. Step 2: Convert to fraction form
    102,591.20/153,865.20 = 43,428.80/x
  3. Step 3: Cross multiply
    102,591.20x = 153,865.20 × 43,428.80
  4. Step 4: Simplify right side
    102,591.20x = 6,682,180,997.76
  5. Step 5: Solve for x
    x = 6,682,180,997.76/102,591.20
  6. Step 6: Final answer
    x = 65,134.06

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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.