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Finding the Fourth Proportional to 138,065.40, 206,952.30 and 78,773.40

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Solution

The fourth proportional to 138,065.40, 206,952.30 and 78,773.40 is: 118,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,065.40 : 206,952.30 = 78,773.40 : x
  2. Step 2: Convert to fraction form
    138,065.40/206,952.30 = 78,773.40/x
  3. Step 3: Cross multiply
    138,065.40x = 206,952.30 × 78,773.40
  4. Step 4: Simplify right side
    138,065.40x = 16,302,336,308.82
  5. Step 5: Solve for x
    x = 16,302,336,308.82/138,065.40
  6. Step 6: Final answer
    x = 118,076.91

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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.