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Finding the Fourth Proportional to 138,072.84, 207,086.14 and 38,243.08

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Solution

The fourth proportional to 138,072.84, 207,086.14 and 38,243.08 is: 57,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,072.84 : 207,086.14 = 38,243.08 : x
  2. Step 2: Convert to fraction form
    138,072.84/207,086.14 = 38,243.08/x
  3. Step 3: Cross multiply
    138,072.84x = 207,086.14 × 38,243.08
  4. Step 4: Simplify right side
    138,072.84x = 7,919,611,818.91
  5. Step 5: Solve for x
    x = 7,919,611,818.91/138,072.84
  6. Step 6: Final answer
    x = 57,358.22

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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.