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Finding the Fourth Proportional to 205,842.40, 308,632.20 and 87,452.80

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Solution

The fourth proportional to 205,842.40, 308,632.20 and 87,452.80 is: 131,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,842.40 : 308,632.20 = 87,452.80 : x
  2. Step 2: Convert to fraction form
    205,842.40/308,632.20 = 87,452.80/x
  3. Step 3: Cross multiply
    205,842.40x = 308,632.20 × 87,452.80
  4. Step 4: Simplify right side
    205,842.40x = 26,990,750,060.16
  5. Step 5: Solve for x
    x = 26,990,750,060.16/205,842.40
  6. Step 6: Final answer
    x = 131,123.37

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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.