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Finding the Fourth Proportional to 205,909.60, 308,864.40 and 87,584.80

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Solution

The fourth proportional to 205,909.60, 308,864.40 and 87,584.80 is: 131,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,909.60 : 308,864.40 = 87,584.80 : x
  2. Step 2: Convert to fraction form
    205,909.60/308,864.40 = 87,584.80/x
  3. Step 3: Cross multiply
    205,909.60x = 308,864.40 × 87,584.80
  4. Step 4: Simplify right side
    205,909.60x = 27,051,826,701.12
  5. Step 5: Solve for x
    x = 27,051,826,701.12/205,909.60
  6. Step 6: Final answer
    x = 131,377.20

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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.