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Finding the Fourth Proportional to 154,469.88, 231,728.54 and 65,699.55

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Solution

The fourth proportional to 154,469.88, 231,728.54 and 65,699.55 is: 98,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,469.88 : 231,728.54 = 65,699.55 : x
  2. Step 2: Convert to fraction form
    154,469.88/231,728.54 = 65,699.55/x
  3. Step 3: Cross multiply
    154,469.88x = 231,728.54 × 65,699.55
  4. Step 4: Simplify right side
    154,469.88x = 15,224,460,471.66
  5. Step 5: Solve for x
    x = 15,224,460,471.66/154,469.88
  6. Step 6: Final answer
    x = 98,559.41

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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.