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Finding the Fourth Proportional to 138,002.80, 207,004.20 and 115,695.40

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Solution

The fourth proportional to 138,002.80, 207,004.20 and 115,695.40 is: 173,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,002.80 : 207,004.20 = 115,695.40 : x
  2. Step 2: Convert to fraction form
    138,002.80/207,004.20 = 115,695.40/x
  3. Step 3: Cross multiply
    138,002.80x = 207,004.20 × 115,695.40
  4. Step 4: Simplify right side
    138,002.80x = 23,949,433,720.68
  5. Step 5: Solve for x
    x = 23,949,433,720.68/138,002.80
  6. Step 6: Final answer
    x = 173,543.10

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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.