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Finding the Fourth Proportional to 47,679, 71,501.22 and 21,370.20

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Solution

The fourth proportional to 47,679, 71,501.22 and 21,370.20 is: 32,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,679 : 71,501.22 = 21,370.20 : x
  2. Step 2: Convert to fraction form
    47,679/71,501.22 = 21,370.20/x
  3. Step 3: Cross multiply
    47,679x = 71,501.22 × 21,370.20
  4. Step 4: Simplify right side
    47,679x = 1,527,995,371.64
  5. Step 5: Solve for x
    x = 1,527,995,371.64/47,679
  6. Step 6: Final answer
    x = 32,047.55

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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.