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Finding the Fourth Proportional to 154,399.60, 231,610.20 and 65,643.04

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Solution

The fourth proportional to 154,399.60, 231,610.20 and 65,643.04 is: 98,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,399.60 : 231,610.20 = 65,643.04 : x
  2. Step 2: Convert to fraction form
    154,399.60/231,610.20 = 65,643.04/x
  3. Step 3: Cross multiply
    154,399.60x = 231,610.20 × 65,643.04
  4. Step 4: Simplify right side
    154,399.60x = 15,203,597,623.01
  5. Step 5: Solve for x
    x = 15,203,597,623.01/154,399.60
  6. Step 6: Final answer
    x = 98,469.15

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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.