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Finding the Fourth Proportional to 208,121.75, 312,191.33 and 65,963.91

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Solution

The fourth proportional to 208,121.75, 312,191.33 and 65,963.91 is: 98,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,121.75 : 312,191.33 = 65,963.91 : x
  2. Step 2: Convert to fraction form
    208,121.75/312,191.33 = 65,963.91/x
  3. Step 3: Cross multiply
    208,121.75x = 312,191.33 × 65,963.91
  4. Step 4: Simplify right side
    208,121.75x = 20,593,360,465.08
  5. Step 5: Solve for x
    x = 20,593,360,465.08/208,121.75
  6. Step 6: Final answer
    x = 98,948.62

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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.