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Finding the Fourth Proportional to 138,502.20, 207,788.34 and 38,662.32

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Solution

The fourth proportional to 138,502.20, 207,788.34 and 38,662.32 is: 58,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,502.20 : 207,788.34 = 38,662.32 : x
  2. Step 2: Convert to fraction form
    138,502.20/207,788.34 = 38,662.32/x
  3. Step 3: Cross multiply
    138,502.20x = 207,788.34 × 38,662.32
  4. Step 4: Simplify right side
    138,502.20x = 8,033,579,293.35
  5. Step 5: Solve for x
    x = 8,033,579,293.35/138,502.20
  6. Step 6: Final answer
    x = 58,003.26

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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.