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Finding the Fourth Proportional to 208,546.80, 312,820.20 and 119,973.30

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Solution

The fourth proportional to 208,546.80, 312,820.20 and 119,973.30 is: 179,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,546.80 : 312,820.20 = 119,973.30 : x
  2. Step 2: Convert to fraction form
    208,546.80/312,820.20 = 119,973.30/x
  3. Step 3: Cross multiply
    208,546.80x = 312,820.20 × 119,973.30
  4. Step 4: Simplify right side
    208,546.80x = 37,530,071,700.66
  5. Step 5: Solve for x
    x = 37,530,071,700.66/208,546.80
  6. Step 6: Final answer
    x = 179,959.95

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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.