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Finding the Fourth Proportional to 138,032.84, 207,097.86 and 67,961.36

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Solution

The fourth proportional to 138,032.84, 207,097.86 and 67,961.36 is: 101,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,032.84 : 207,097.86 = 67,961.36 : x
  2. Step 2: Convert to fraction form
    138,032.84/207,097.86 = 67,961.36/x
  3. Step 3: Cross multiply
    138,032.84x = 207,097.86 × 67,961.36
  4. Step 4: Simplify right side
    138,032.84x = 14,074,652,218.69
  5. Step 5: Solve for x
    x = 14,074,652,218.69/138,032.84
  6. Step 6: Final answer
    x = 101,965.97

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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.