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Finding the Fourth Proportional to 138,187.32, 207,392.66 and 71,646.48

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Solution

The fourth proportional to 138,187.32, 207,392.66 and 71,646.48 is: 107,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,187.32 : 207,392.66 = 71,646.48 : x
  2. Step 2: Convert to fraction form
    138,187.32/207,392.66 = 71,646.48/x
  3. Step 3: Cross multiply
    138,187.32x = 207,392.66 × 71,646.48
  4. Step 4: Simplify right side
    138,187.32x = 14,858,954,066.84
  5. Step 5: Solve for x
    x = 14,858,954,066.84/138,187.32
  6. Step 6: Final answer
    x = 107,527.62

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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.