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Finding the Fourth Proportional to 205,438.40, 308,186.40 and 80,750.40

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Solution

The fourth proportional to 205,438.40, 308,186.40 and 80,750.40 is: 121,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,438.40 : 308,186.40 = 80,750.40 : x
  2. Step 2: Convert to fraction form
    205,438.40/308,186.40 = 80,750.40/x
  3. Step 3: Cross multiply
    205,438.40x = 308,186.40 × 80,750.40
  4. Step 4: Simplify right side
    205,438.40x = 24,886,175,074.56
  5. Step 5: Solve for x
    x = 24,886,175,074.56/205,438.40
  6. Step 6: Final answer
    x = 121,136.92

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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.