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Finding the Fourth Proportional to 272,005.20, 408,007.80 and 105,685.20

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Solution

The fourth proportional to 272,005.20, 408,007.80 and 105,685.20 is: 158,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,005.20 : 408,007.80 = 105,685.20 : x
  2. Step 2: Convert to fraction form
    272,005.20/408,007.80 = 105,685.20/x
  3. Step 3: Cross multiply
    272,005.20x = 408,007.80 × 105,685.20
  4. Step 4: Simplify right side
    272,005.20x = 43,120,385,944.56
  5. Step 5: Solve for x
    x = 43,120,385,944.56/272,005.20
  6. Step 6: Final answer
    x = 158,527.80

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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.