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Finding the Fourth Proportional to 154,610.40, 231,728.40 and 65,677.20

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Solution

The fourth proportional to 154,610.40, 231,728.40 and 65,677.20 is: 98,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,610.40 : 231,728.40 = 65,677.20 : x
  2. Step 2: Convert to fraction form
    154,610.40/231,728.40 = 65,677.20/x
  3. Step 3: Cross multiply
    154,610.40x = 231,728.40 × 65,677.20
  4. Step 4: Simplify right side
    154,610.40x = 15,219,272,472.48
  5. Step 5: Solve for x
    x = 15,219,272,472.48/154,610.40
  6. Step 6: Final answer
    x = 98,436.28

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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.