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Finding the Fourth Proportional to 138,659.33, 191,358.63 and 78,207.92

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Solution

The fourth proportional to 138,659.33, 191,358.63 and 78,207.92 is: 107,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,659.33 : 191,358.63 = 78,207.92 : x
  2. Step 2: Convert to fraction form
    138,659.33/191,358.63 = 78,207.92/x
  3. Step 3: Cross multiply
    138,659.33x = 191,358.63 × 78,207.92
  4. Step 4: Simplify right side
    138,659.33x = 14,965,759,698.09
  5. Step 5: Solve for x
    x = 14,965,759,698.09/138,659.33
  6. Step 6: Final answer
    x = 107,931.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.