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Finding the Fourth Proportional to 208,565.50, 288,057.99 and 141,380.86

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Solution

The fourth proportional to 208,565.50, 288,057.99 and 141,380.86 is: 195,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,565.50 : 288,057.99 = 141,380.86 : x
  2. Step 2: Convert to fraction form
    208,565.50/288,057.99 = 141,380.86/x
  3. Step 3: Cross multiply
    208,565.50x = 288,057.99 × 141,380.86
  4. Step 4: Simplify right side
    208,565.50x = 40,725,886,356.07
  5. Step 5: Solve for x
    x = 40,725,886,356.07/208,565.50
  6. Step 6: Final answer
    x = 195,266.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.