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Finding the Fourth Proportional to 120,738, 166,609.56 and 69,752.88

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Solution

The fourth proportional to 120,738, 166,609.56 and 69,752.88 is: 96,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,738 : 166,609.56 = 69,752.88 : x
  2. Step 2: Convert to fraction form
    120,738/166,609.56 = 69,752.88/x
  3. Step 3: Cross multiply
    120,738x = 166,609.56 × 69,752.88
  4. Step 4: Simplify right side
    120,738x = 11,621,496,645.53
  5. Step 5: Solve for x
    x = 11,621,496,645.53/120,738
  6. Step 6: Final answer
    x = 96,253.84

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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.