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Finding the Fourth Proportional to 47,242.50, 70,873.50 and 19,540.50

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Solution

The fourth proportional to 47,242.50, 70,873.50 and 19,540.50 is: 29,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,242.50 : 70,873.50 = 19,540.50 : x
  2. Step 2: Convert to fraction form
    47,242.50/70,873.50 = 19,540.50/x
  3. Step 3: Cross multiply
    47,242.50x = 70,873.50 × 19,540.50
  4. Step 4: Simplify right side
    47,242.50x = 1,384,903,626.75
  5. Step 5: Solve for x
    x = 1,384,903,626.75/47,242.50
  6. Step 6: Final answer
    x = 29,314.78

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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.