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Finding the Fourth Proportional to 70,816.66, 106,247.46 and 20,897

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Solution

The fourth proportional to 70,816.66, 106,247.46 and 20,897 is: 31,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,816.66 : 106,247.46 = 20,897 : x
  2. Step 2: Convert to fraction form
    70,816.66/106,247.46 = 20,897/x
  3. Step 3: Cross multiply
    70,816.66x = 106,247.46 × 20,897
  4. Step 4: Simplify right side
    70,816.66x = 2,220,253,171.62
  5. Step 5: Solve for x
    x = 2,220,253,171.62/70,816.66
  6. Step 6: Final answer
    x = 31,352.13

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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.