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Finding the Fourth Proportional to 138,068.50, 206,770.60 and 78,724.25

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Solution

The fourth proportional to 138,068.50, 206,770.60 and 78,724.25 is: 117,896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,068.50 : 206,770.60 = 78,724.25 : x
  2. Step 2: Convert to fraction form
    138,068.50/206,770.60 = 78,724.25/x
  3. Step 3: Cross multiply
    138,068.50x = 206,770.60 × 78,724.25
  4. Step 4: Simplify right side
    138,068.50x = 16,277,860,967.25
  5. Step 5: Solve for x
    x = 16,277,860,967.25/138,068.50
  6. Step 6: Final answer
    x = 117,896.99

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1.5x scale

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.