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Finding the Fourth Proportional to 138,197.40, 206,963.94 and 78,853.14

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Solution

The fourth proportional to 138,197.40, 206,963.94 and 78,853.14 is: 118,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,197.40 : 206,963.94 = 78,853.14 : x
  2. Step 2: Convert to fraction form
    138,197.40/206,963.94 = 78,853.14/x
  3. Step 3: Cross multiply
    138,197.40x = 206,963.94 × 78,853.14
  4. Step 4: Simplify right side
    138,197.40x = 16,319,756,535.77
  5. Step 5: Solve for x
    x = 16,319,756,535.77/138,197.40
  6. Step 6: Final answer
    x = 118,090.19

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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.