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Finding the Fourth Proportional to 80,195.28, 120,053.25 and 48,509.45

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Solution

The fourth proportional to 80,195.28, 120,053.25 and 48,509.45 is: 72,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,195.28 : 120,053.25 = 48,509.45 : x
  2. Step 2: Convert to fraction form
    80,195.28/120,053.25 = 48,509.45/x
  3. Step 3: Cross multiply
    80,195.28x = 120,053.25 × 48,509.45
  4. Step 4: Simplify right side
    80,195.28x = 5,823,717,128.21
  5. Step 5: Solve for x
    x = 5,823,717,128.21/80,195.28
  6. Step 6: Final answer
    x = 72,619.20

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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.