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Finding the Fourth Proportional to 138,954.68, 207,933.76 and 120,298.89

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Solution

The fourth proportional to 138,954.68, 207,933.76 and 120,298.89 is: 180,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,954.68 : 207,933.76 = 120,298.89 : x
  2. Step 2: Convert to fraction form
    138,954.68/207,933.76 = 120,298.89/x
  3. Step 3: Cross multiply
    138,954.68x = 207,933.76 × 120,298.89
  4. Step 4: Simplify right side
    138,954.68x = 25,014,200,521.53
  5. Step 5: Solve for x
    x = 25,014,200,521.53/138,954.68
  6. Step 6: Final answer
    x = 180,016.97

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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.