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Finding the Fourth Proportional to 126,363.84, 174,379.80 and 69,774

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Solution

The fourth proportional to 126,363.84, 174,379.80 and 69,774 is: 96,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,363.84 : 174,379.80 = 69,774 : x
  2. Step 2: Convert to fraction form
    126,363.84/174,379.80 = 69,774/x
  3. Step 3: Cross multiply
    126,363.84x = 174,379.80 × 69,774
  4. Step 4: Simplify right side
    126,363.84x = 12,167,176,165.20
  5. Step 5: Solve for x
    x = 12,167,176,165.20/126,363.84
  6. Step 6: Final answer
    x = 96,286.85

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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.