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Finding the Fourth Proportional to 138,003.63, 206,857.82 and 71,376.68

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Solution

The fourth proportional to 138,003.63, 206,857.82 and 71,376.68 is: 106,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,003.63 : 206,857.82 = 71,376.68 : x
  2. Step 2: Convert to fraction form
    138,003.63/206,857.82 = 71,376.68/x
  3. Step 3: Cross multiply
    138,003.63x = 206,857.82 × 71,376.68
  4. Step 4: Simplify right side
    138,003.63x = 14,764,823,032.47
  5. Step 5: Solve for x
    x = 14,764,823,032.47/138,003.63
  6. Step 6: Final answer
    x = 106,988.66

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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.