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Finding the Fourth Proportional to 70,723.57, 106,082.16 and 20,805.29

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Solution

The fourth proportional to 70,723.57, 106,082.16 and 20,805.29 is: 31,207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,723.57 : 106,082.16 = 20,805.29 : x
  2. Step 2: Convert to fraction form
    70,723.57/106,082.16 = 20,805.29/x
  3. Step 3: Cross multiply
    70,723.57x = 106,082.16 × 20,805.29
  4. Step 4: Simplify right side
    70,723.57x = 2,207,070,289.81
  5. Step 5: Solve for x
    x = 2,207,070,289.81/70,723.57
  6. Step 6: Final answer
    x = 31,207.00

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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.