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Finding the Fourth Proportional to 164,809.86, 247,221.98 and 80,640.90

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Solution

The fourth proportional to 164,809.86, 247,221.98 and 80,640.90 is: 120,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,809.86 : 247,221.98 = 80,640.90 : x
  2. Step 2: Convert to fraction form
    164,809.86/247,221.98 = 80,640.90/x
  3. Step 3: Cross multiply
    164,809.86x = 247,221.98 × 80,640.90
  4. Step 4: Simplify right side
    164,809.86x = 19,936,202,966.98
  5. Step 5: Solve for x
    x = 19,936,202,966.98/164,809.86
  6. Step 6: Final answer
    x = 120,964.87

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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.