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Finding the Fourth Proportional to 70,388.52, 105,589.65 and 20,469

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Solution

The fourth proportional to 70,388.52, 105,589.65 and 20,469 is: 30,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,388.52 : 105,589.65 = 20,469 : x
  2. Step 2: Convert to fraction form
    70,388.52/105,589.65 = 20,469/x
  3. Step 3: Cross multiply
    70,388.52x = 105,589.65 × 20,469
  4. Step 4: Simplify right side
    70,388.52x = 2,161,314,545.85
  5. Step 5: Solve for x
    x = 2,161,314,545.85/70,388.52
  6. Step 6: Final answer
    x = 30,705.50

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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.