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Finding the Fourth Proportional to 126,017.84, 189,061.79 and 54,946.68

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Solution

The fourth proportional to 126,017.84, 189,061.79 and 54,946.68 is: 82,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,017.84 : 189,061.79 = 54,946.68 : x
  2. Step 2: Convert to fraction form
    126,017.84/189,061.79 = 54,946.68/x
  3. Step 3: Cross multiply
    126,017.84x = 189,061.79 × 54,946.68
  4. Step 4: Simplify right side
    126,017.84x = 10,388,317,400.62
  5. Step 5: Solve for x
    x = 10,388,317,400.62/126,017.84
  6. Step 6: Final answer
    x = 82,435.29

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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.