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Finding the Fourth Proportional to 136,868.56, 205,375.16 and 97,144.40

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Solution

The fourth proportional to 136,868.56, 205,375.16 and 97,144.40 is: 145,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,868.56 : 205,375.16 = 97,144.40 : x
  2. Step 2: Convert to fraction form
    136,868.56/205,375.16 = 97,144.40/x
  3. Step 3: Cross multiply
    136,868.56x = 205,375.16 × 97,144.40
  4. Step 4: Simplify right side
    136,868.56x = 19,951,046,693.10
  5. Step 5: Solve for x
    x = 19,951,046,693.10/136,868.56
  6. Step 6: Final answer
    x = 145,767.93

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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.