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Finding the Fourth Proportional to 152,170.97, 209,982.71 and 84,186.86

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Solution

The fourth proportional to 152,170.97, 209,982.71 and 84,186.86 is: 116,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,170.97 : 209,982.71 = 84,186.86 : x
  2. Step 2: Convert to fraction form
    152,170.97/209,982.71 = 84,186.86/x
  3. Step 3: Cross multiply
    152,170.97x = 209,982.71 × 84,186.86
  4. Step 4: Simplify right side
    152,170.97x = 17,677,784,169.74
  5. Step 5: Solve for x
    x = 17,677,784,169.74/152,170.97
  6. Step 6: Final answer
    x = 116,170.55

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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.