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Finding the Fourth Proportional to 70,625.80, 105,940.38 and 20,707.24

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Solution

The fourth proportional to 70,625.80, 105,940.38 and 20,707.24 is: 31,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,625.80 : 105,940.38 = 20,707.24 : x
  2. Step 2: Convert to fraction form
    70,625.80/105,940.38 = 20,707.24/x
  3. Step 3: Cross multiply
    70,625.80x = 105,940.38 × 20,707.24
  4. Step 4: Simplify right side
    70,625.80x = 2,193,732,874.35
  5. Step 5: Solve for x
    x = 2,193,732,874.35/70,625.80
  6. Step 6: Final answer
    x = 31,061.35

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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.