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Finding the Fourth Proportional to 123,523.26, 185,284.89 and 70,947.78

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Solution

The fourth proportional to 123,523.26, 185,284.89 and 70,947.78 is: 106,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,523.26 : 185,284.89 = 70,947.78 : x
  2. Step 2: Convert to fraction form
    123,523.26/185,284.89 = 70,947.78/x
  3. Step 3: Cross multiply
    123,523.26x = 185,284.89 × 70,947.78
  4. Step 4: Simplify right side
    123,523.26x = 13,145,551,613.04
  5. Step 5: Solve for x
    x = 13,145,551,613.04/123,523.26
  6. Step 6: Final answer
    x = 106,421.67

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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.