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Finding the Fourth Proportional to 138,060.40, 207,119.40 and 78,847.60

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Solution

The fourth proportional to 138,060.40, 207,119.40 and 78,847.60 is: 118,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,060.40 : 207,119.40 = 78,847.60 : x
  2. Step 2: Convert to fraction form
    138,060.40/207,119.40 = 78,847.60/x
  3. Step 3: Cross multiply
    138,060.40x = 207,119.40 × 78,847.60
  4. Step 4: Simplify right side
    138,060.40x = 16,330,867,603.44
  5. Step 5: Solve for x
    x = 16,330,867,603.44/138,060.40
  6. Step 6: Final answer
    x = 118,287.85

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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.