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Finding the Fourth Proportional to 177,684, 266,657.04 and 84,189.84

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Solution

The fourth proportional to 177,684, 266,657.04 and 84,189.84 is: 126,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,684 : 266,657.04 = 84,189.84 : x
  2. Step 2: Convert to fraction form
    177,684/266,657.04 = 84,189.84/x
  3. Step 3: Cross multiply
    177,684x = 266,657.04 × 84,189.84
  4. Step 4: Simplify right side
    177,684x = 22,449,813,532.47
  5. Step 5: Solve for x
    x = 22,449,813,532.47/177,684
  6. Step 6: Final answer
    x = 126,346.85

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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.