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Finding the Fourth Proportional to 138,630.76, 191,359.47 and 82,042

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Solution

The fourth proportional to 138,630.76, 191,359.47 and 82,042 is: 113,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,630.76 : 191,359.47 = 82,042 : x
  2. Step 2: Convert to fraction form
    138,630.76/191,359.47 = 82,042/x
  3. Step 3: Cross multiply
    138,630.76x = 191,359.47 × 82,042
  4. Step 4: Simplify right side
    138,630.76x = 15,699,513,637.74
  5. Step 5: Solve for x
    x = 15,699,513,637.74/138,630.76
  6. Step 6: Final answer
    x = 113,246.97

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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.