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Finding the Fourth Proportional to 208,540.80, 312,811.20 and 119,967.30

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Solution

The fourth proportional to 208,540.80, 312,811.20 and 119,967.30 is: 179,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,540.80 : 312,811.20 = 119,967.30 : x
  2. Step 2: Convert to fraction form
    208,540.80/312,811.20 = 119,967.30/x
  3. Step 3: Cross multiply
    208,540.80x = 312,811.20 × 119,967.30
  4. Step 4: Simplify right side
    208,540.80x = 37,527,115,073.76
  5. Step 5: Solve for x
    x = 37,527,115,073.76/208,540.80
  6. Step 6: Final answer
    x = 179,950.95

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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.