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Finding the Fourth Proportional to 119,965.20, 179,947.80 and 77,974.80

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Solution

The fourth proportional to 119,965.20, 179,947.80 and 77,974.80 is: 116,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,965.20 : 179,947.80 = 77,974.80 : x
  2. Step 2: Convert to fraction form
    119,965.20/179,947.80 = 77,974.80/x
  3. Step 3: Cross multiply
    119,965.20x = 179,947.80 × 77,974.80
  4. Step 4: Simplify right side
    119,965.20x = 14,031,393,715.44
  5. Step 5: Solve for x
    x = 14,031,393,715.44/119,965.20
  6. Step 6: Final answer
    x = 116,962.20

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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.