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Finding the Fourth Proportional to 138,197.64, 206,964.27 and 78,853.40

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Solution

The fourth proportional to 138,197.64, 206,964.27 and 78,853.40 is: 118,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,197.64 : 206,964.27 = 78,853.40 : x
  2. Step 2: Convert to fraction form
    138,197.64/206,964.27 = 78,853.40/x
  3. Step 3: Cross multiply
    138,197.64x = 206,964.27 × 78,853.40
  4. Step 4: Simplify right side
    138,197.64x = 16,319,836,368.02
  5. Step 5: Solve for x
    x = 16,319,836,368.02/138,197.64
  6. Step 6: Final answer
    x = 118,090.56

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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.