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Finding the Fourth Proportional to 208,538.80, 312,808.20 and 119,965.30

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Solution

The fourth proportional to 208,538.80, 312,808.20 and 119,965.30 is: 179,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,538.80 : 312,808.20 = 119,965.30 : x
  2. Step 2: Convert to fraction form
    208,538.80/312,808.20 = 119,965.30/x
  3. Step 3: Cross multiply
    208,538.80x = 312,808.20 × 119,965.30
  4. Step 4: Simplify right side
    208,538.80x = 37,526,129,555.46
  5. Step 5: Solve for x
    x = 37,526,129,555.46/208,538.80
  6. Step 6: Final answer
    x = 179,947.95

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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.