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Finding the Fourth Proportional to 208,032.20, 311,866.05 and 141,255.80

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Solution

The fourth proportional to 208,032.20, 311,866.05 and 141,255.80 is: 211,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032.20 : 311,866.05 = 141,255.80 : x
  2. Step 2: Convert to fraction form
    208,032.20/311,866.05 = 141,255.80/x
  3. Step 3: Cross multiply
    208,032.20x = 311,866.05 × 141,255.80
  4. Step 4: Simplify right side
    208,032.20x = 44,052,888,385.59
  5. Step 5: Solve for x
    x = 44,052,888,385.59/208,032.20
  6. Step 6: Final answer
    x = 211,759.95

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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.