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Finding the Fourth Proportional to 138,722, 208,137.72 and 72,120.40

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Solution

The fourth proportional to 138,722, 208,137.72 and 72,120.40 is: 108,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,722 : 208,137.72 = 72,120.40 : x
  2. Step 2: Convert to fraction form
    138,722/208,137.72 = 72,120.40/x
  3. Step 3: Cross multiply
    138,722x = 208,137.72 × 72,120.40
  4. Step 4: Simplify right side
    138,722x = 15,010,975,621.49
  5. Step 5: Solve for x
    x = 15,010,975,621.49/138,722
  6. Step 6: Final answer
    x = 108,209.05

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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.