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Finding the Fourth Proportional to 205,854.40, 308,810.40 and 87,524.80

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Solution

The fourth proportional to 205,854.40, 308,810.40 and 87,524.80 is: 131,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,854.40 : 308,810.40 = 87,524.80 : x
  2. Step 2: Convert to fraction form
    205,854.40/308,810.40 = 87,524.80/x
  3. Step 3: Cross multiply
    205,854.40x = 308,810.40 × 87,524.80
  4. Step 4: Simplify right side
    205,854.40x = 27,028,568,497.92
  5. Step 5: Solve for x
    x = 27,028,568,497.92/205,854.40
  6. Step 6: Final answer
    x = 131,299.45

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1.5x scale

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.