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Finding the Fourth Proportional to 204,235.65, 306,473.36 and 85,897.89

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Solution

The fourth proportional to 204,235.65, 306,473.36 and 85,897.89 is: 128,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,235.65 : 306,473.36 = 85,897.89 : x
  2. Step 2: Convert to fraction form
    204,235.65/306,473.36 = 85,897.89/x
  3. Step 3: Cross multiply
    204,235.65x = 306,473.36 × 85,897.89
  4. Step 4: Simplify right side
    204,235.65x = 26,325,414,535.72
  5. Step 5: Solve for x
    x = 26,325,414,535.72/204,235.65
  6. Step 6: Final answer
    x = 128,897.25

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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.