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Finding the Fourth Proportional to 138,200.15, 206,968.02 and 78,855.90

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Solution

The fourth proportional to 138,200.15, 206,968.02 and 78,855.90 is: 118,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,200.15 : 206,968.02 = 78,855.90 : x
  2. Step 2: Convert to fraction form
    138,200.15/206,968.02 = 78,855.90/x
  3. Step 3: Cross multiply
    138,200.15x = 206,968.02 × 78,855.90
  4. Step 4: Simplify right side
    138,200.15x = 16,320,649,488.32
  5. Step 5: Solve for x
    x = 16,320,649,488.32/138,200.15
  6. Step 6: Final answer
    x = 118,094.30

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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.