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Finding the Fourth Proportional to 119,115.96, 164,380.31 and 65,404.45

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Solution

The fourth proportional to 119,115.96, 164,380.31 and 65,404.45 is: 90,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,115.96 : 164,380.31 = 65,404.45 : x
  2. Step 2: Convert to fraction form
    119,115.96/164,380.31 = 65,404.45/x
  3. Step 3: Cross multiply
    119,115.96x = 164,380.31 × 65,404.45
  4. Step 4: Simplify right side
    119,115.96x = 10,751,203,766.38
  5. Step 5: Solve for x
    x = 10,751,203,766.38/119,115.96
  6. Step 6: Final answer
    x = 90,258.30

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1.5x scale

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.