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Finding the Fourth Proportional to 208,828, 288,074.84 and 132,217.36

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Solution

The fourth proportional to 208,828, 288,074.84 and 132,217.36 is: 182,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,828 : 288,074.84 = 132,217.36 : x
  2. Step 2: Convert to fraction form
    208,828/288,074.84 = 132,217.36/x
  3. Step 3: Cross multiply
    208,828x = 288,074.84 × 132,217.36
  4. Step 4: Simplify right side
    208,828x = 38,088,494,827.22
  5. Step 5: Solve for x
    x = 38,088,494,827.22/208,828
  6. Step 6: Final answer
    x = 182,391.70

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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.