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Finding the Fourth Proportional to 126,102.97, 189,368.71 and 84,251.98

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Solution

The fourth proportional to 126,102.97, 189,368.71 and 84,251.98 is: 126,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,102.97 : 189,368.71 = 84,251.98 : x
  2. Step 2: Convert to fraction form
    126,102.97/189,368.71 = 84,251.98/x
  3. Step 3: Cross multiply
    126,102.97x = 189,368.71 × 84,251.98
  4. Step 4: Simplify right side
    126,102.97x = 15,954,689,030.34
  5. Step 5: Solve for x
    x = 15,954,689,030.34/126,102.97
  6. Step 6: Final answer
    x = 126,521.13

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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.