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Finding the Fourth Proportional to 110,147.10, 165,220.65 and 70,781.10

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Solution

The fourth proportional to 110,147.10, 165,220.65 and 70,781.10 is: 106,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,147.10 : 165,220.65 = 70,781.10 : x
  2. Step 2: Convert to fraction form
    110,147.10/165,220.65 = 70,781.10/x
  3. Step 3: Cross multiply
    110,147.10x = 165,220.65 × 70,781.10
  4. Step 4: Simplify right side
    110,147.10x = 11,694,499,349.72
  5. Step 5: Solve for x
    x = 11,694,499,349.72/110,147.10
  6. Step 6: Final answer
    x = 106,171.65

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1.5x scale

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.