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Finding the Fourth Proportional to 106,987.80, 160,481.70 and 100,864.20

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Solution

The fourth proportional to 106,987.80, 160,481.70 and 100,864.20 is: 151,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,987.80 : 160,481.70 = 100,864.20 : x
  2. Step 2: Convert to fraction form
    106,987.80/160,481.70 = 100,864.20/x
  3. Step 3: Cross multiply
    106,987.80x = 160,481.70 × 100,864.20
  4. Step 4: Simplify right side
    106,987.80x = 16,186,858,285.14
  5. Step 5: Solve for x
    x = 16,186,858,285.14/106,987.80
  6. Step 6: Final answer
    x = 151,296.30

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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.