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Finding the Fourth Proportional to 136,144.65, 204,236.41 and 42,657.69

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Solution

The fourth proportional to 136,144.65, 204,236.41 and 42,657.69 is: 63,992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,144.65 : 204,236.41 = 42,657.69 : x
  2. Step 2: Convert to fraction form
    136,144.65/204,236.41 = 42,657.69/x
  3. Step 3: Cross multiply
    136,144.65x = 204,236.41 × 42,657.69
  4. Step 4: Simplify right side
    136,144.65x = 8,712,253,464.49
  5. Step 5: Solve for x
    x = 8,712,253,464.49/136,144.65
  6. Step 6: Final answer
    x = 63,992.62

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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.