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Finding the Fourth Proportional to 285,958.61, 428,659.01 and 136,158.65

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Solution

The fourth proportional to 285,958.61, 428,659.01 and 136,158.65 is: 204,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,958.61 : 428,659.01 = 136,158.65 : x
  2. Step 2: Convert to fraction form
    285,958.61/428,659.01 = 136,158.65/x
  3. Step 3: Cross multiply
    285,958.61x = 428,659.01 × 136,158.65
  4. Step 4: Simplify right side
    285,958.61x = 58,365,631,431.14
  5. Step 5: Solve for x
    x = 58,365,631,431.14/285,958.61
  6. Step 6: Final answer
    x = 204,105.17

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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.