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Finding the Fourth Proportional to 138,138.78, 207,271.05 and 67,023.03

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Solution

The fourth proportional to 138,138.78, 207,271.05 and 67,023.03 is: 100,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,138.78 : 207,271.05 = 67,023.03 : x
  2. Step 2: Convert to fraction form
    138,138.78/207,271.05 = 67,023.03/x
  3. Step 3: Cross multiply
    138,138.78x = 207,271.05 × 67,023.03
  4. Step 4: Simplify right side
    138,138.78x = 13,891,933,802.28
  5. Step 5: Solve for x
    x = 13,891,933,802.28/138,138.78
  6. Step 6: Final answer
    x = 100,565.05

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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.