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Finding the Fourth Proportional to 120,397.24, 166,148.21 and 65,949.64

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Solution

The fourth proportional to 120,397.24, 166,148.21 and 65,949.64 is: 91,010.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,397.24 : 166,148.21 = 65,949.64 : x
  2. Step 2: Convert to fraction form
    120,397.24/166,148.21 = 65,949.64/x
  3. Step 3: Cross multiply
    120,397.24x = 166,148.21 × 65,949.64
  4. Step 4: Simplify right side
    120,397.24x = 10,957,415,320.23
  5. Step 5: Solve for x
    x = 10,957,415,320.23/120,397.24
  6. Step 6: Final answer
    x = 91,010.52

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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.