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Finding the Fourth Proportional to 138,597.73, 207,864.81 and 38,764.98

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Solution

The fourth proportional to 138,597.73, 207,864.81 and 38,764.98 is: 58,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,597.73 : 207,864.81 = 38,764.98 : x
  2. Step 2: Convert to fraction form
    138,597.73/207,864.81 = 38,764.98/x
  3. Step 3: Cross multiply
    138,597.73x = 207,864.81 × 38,764.98
  4. Step 4: Simplify right side
    138,597.73x = 8,057,875,202.35
  5. Step 5: Solve for x
    x = 8,057,875,202.35/138,597.73
  6. Step 6: Final answer
    x = 58,138.58

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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.