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Finding the Fourth Proportional to 138,032.80, 207,049.20 and 49,328.80

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Solution

The fourth proportional to 138,032.80, 207,049.20 and 49,328.80 is: 73,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,032.80 : 207,049.20 = 49,328.80 : x
  2. Step 2: Convert to fraction form
    138,032.80/207,049.20 = 49,328.80/x
  3. Step 3: Cross multiply
    138,032.80x = 207,049.20 × 49,328.80
  4. Step 4: Simplify right side
    138,032.80x = 10,213,488,576.96
  5. Step 5: Solve for x
    x = 10,213,488,576.96/138,032.80
  6. Step 6: Final answer
    x = 73,993.20

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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.