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Finding the Fourth Proportional to 205,606.10, 308,524.35 and 87,257.30

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Solution

The fourth proportional to 205,606.10, 308,524.35 and 87,257.30 is: 130,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,606.10 : 308,524.35 = 87,257.30 : x
  2. Step 2: Convert to fraction form
    205,606.10/308,524.35 = 87,257.30/x
  3. Step 3: Cross multiply
    205,606.10x = 308,524.35 × 87,257.30
  4. Step 4: Simplify right side
    205,606.10x = 26,921,001,765.26
  5. Step 5: Solve for x
    x = 26,921,001,765.26/205,606.10
  6. Step 6: Final answer
    x = 130,934.84

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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.