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Finding the Fourth Proportional to 120,290.70, 165,982.67 and 69,293.47

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Solution

The fourth proportional to 120,290.70, 165,982.67 and 69,293.47 is: 95,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,290.70 : 165,982.67 = 69,293.47 : x
  2. Step 2: Convert to fraction form
    120,290.70/165,982.67 = 69,293.47/x
  3. Step 3: Cross multiply
    120,290.70x = 165,982.67 × 69,293.47
  4. Step 4: Simplify right side
    120,290.70x = 11,501,513,987.78
  5. Step 5: Solve for x
    x = 11,501,513,987.78/120,290.70
  6. Step 6: Final answer
    x = 95,614.33

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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.