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Finding the Fourth Proportional to 119,230.40, 178,780.80 and 49,116.80

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Solution

The fourth proportional to 119,230.40, 178,780.80 and 49,116.80 is: 73,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,230.40 : 178,780.80 = 49,116.80 : x
  2. Step 2: Convert to fraction form
    119,230.40/178,780.80 = 49,116.80/x
  3. Step 3: Cross multiply
    119,230.40x = 178,780.80 × 49,116.80
  4. Step 4: Simplify right side
    119,230.40x = 8,781,140,797.44
  5. Step 5: Solve for x
    x = 8,781,140,797.44/119,230.40
  6. Step 6: Final answer
    x = 73,648.51

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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.