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Finding the Fourth Proportional to 204,262.65, 306,513.86 and 85,924.89

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Solution

The fourth proportional to 204,262.65, 306,513.86 and 85,924.89 is: 128,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,262.65 : 306,513.86 = 85,924.89 : x
  2. Step 2: Convert to fraction form
    204,262.65/306,513.86 = 85,924.89/x
  3. Step 3: Cross multiply
    204,262.65x = 306,513.86 × 85,924.89
  4. Step 4: Simplify right side
    204,262.65x = 26,337,169,274.35
  5. Step 5: Solve for x
    x = 26,337,169,274.35/204,262.65
  6. Step 6: Final answer
    x = 128,937.76

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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.