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Finding the Fourth Proportional to 154,243.44, 231,400.80 and 65,499.84

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Solution

The fourth proportional to 154,243.44, 231,400.80 and 65,499.84 is: 98,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,243.44 : 231,400.80 = 65,499.84 : x
  2. Step 2: Convert to fraction form
    154,243.44/231,400.80 = 65,499.84/x
  3. Step 3: Cross multiply
    154,243.44x = 231,400.80 × 65,499.84
  4. Step 4: Simplify right side
    154,243.44x = 15,156,715,375.87
  5. Step 5: Solve for x
    x = 15,156,715,375.87/154,243.44
  6. Step 6: Final answer
    x = 98,264.89

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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.