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Finding the Fourth Proportional to 208,847.97, 313,221.78 and 96,420.18

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Solution

The fourth proportional to 208,847.97, 313,221.78 and 96,420.18 is: 144,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.97 : 313,221.78 = 96,420.18 : x
  2. Step 2: Convert to fraction form
    208,847.97/313,221.78 = 96,420.18/x
  3. Step 3: Cross multiply
    208,847.97x = 313,221.78 × 96,420.18
  4. Step 4: Simplify right side
    208,847.97x = 30,200,900,407.52
  5. Step 5: Solve for x
    x = 30,200,900,407.52/208,847.97
  6. Step 6: Final answer
    x = 144,607.11

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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.