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Finding the Fourth Proportional to 116,161.52, 160,351.83 and 78,486.80

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Solution

The fourth proportional to 116,161.52, 160,351.83 and 78,486.80 is: 108,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,161.52 : 160,351.83 = 78,486.80 : x
  2. Step 2: Convert to fraction form
    116,161.52/160,351.83 = 78,486.80/x
  3. Step 3: Cross multiply
    116,161.52x = 160,351.83 × 78,486.80
  4. Step 4: Simplify right side
    116,161.52x = 12,585,502,010.84
  5. Step 5: Solve for x
    x = 12,585,502,010.84/116,161.52
  6. Step 6: Final answer
    x = 108,344.85

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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.