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Finding the Fourth Proportional to 154,131.88, 231,247.18 and 65,459.88

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Solution

The fourth proportional to 154,131.88, 231,247.18 and 65,459.88 is: 98,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,131.88 : 231,247.18 = 65,459.88 : x
  2. Step 2: Convert to fraction form
    154,131.88/231,247.18 = 65,459.88/x
  3. Step 3: Cross multiply
    154,131.88x = 231,247.18 × 65,459.88
  4. Step 4: Simplify right side
    154,131.88x = 15,137,412,653.14
  5. Step 5: Solve for x
    x = 15,137,412,653.14/154,131.88
  6. Step 6: Final answer
    x = 98,210.78

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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.