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Finding the Fourth Proportional to 137,041.97, 189,119.33 and 76,615.97

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Solution

The fourth proportional to 137,041.97, 189,119.33 and 76,615.97 is: 105,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,041.97 : 189,119.33 = 76,615.97 : x
  2. Step 2: Convert to fraction form
    137,041.97/189,119.33 = 76,615.97/x
  3. Step 3: Cross multiply
    137,041.97x = 189,119.33 × 76,615.97
  4. Step 4: Simplify right side
    137,041.97x = 14,489,560,913.70
  5. Step 5: Solve for x
    x = 14,489,560,913.70/137,041.97
  6. Step 6: Final answer
    x = 105,730.83

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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.