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Finding the Fourth Proportional to 70,013.66, 104,988.90 and 20,082.30

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Solution

The fourth proportional to 70,013.66, 104,988.90 and 20,082.30 is: 30,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,013.66 : 104,988.90 = 20,082.30 : x
  2. Step 2: Convert to fraction form
    70,013.66/104,988.90 = 20,082.30/x
  3. Step 3: Cross multiply
    70,013.66x = 104,988.90 × 20,082.30
  4. Step 4: Simplify right side
    70,013.66x = 2,108,418,586.47
  5. Step 5: Solve for x
    x = 2,108,418,586.47/70,013.66
  6. Step 6: Final answer
    x = 30,114.39

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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.