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Finding the Fourth Proportional to 219,118, 302,382.84 and 129,694

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Solution

The fourth proportional to 219,118, 302,382.84 and 129,694 is: 178,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,118 : 302,382.84 = 129,694 : x
  2. Step 2: Convert to fraction form
    219,118/302,382.84 = 129,694/x
  3. Step 3: Cross multiply
    219,118x = 302,382.84 × 129,694
  4. Step 4: Simplify right side
    219,118x = 39,217,240,050.96
  5. Step 5: Solve for x
    x = 39,217,240,050.96/219,118
  6. Step 6: Final answer
    x = 178,977.72

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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.