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Finding the Fourth Proportional to 70,338.27, 105,517.80 and 20,411.88

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Solution

The fourth proportional to 70,338.27, 105,517.80 and 20,411.88 is: 30,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,338.27 : 105,517.80 = 20,411.88 : x
  2. Step 2: Convert to fraction form
    70,338.27/105,517.80 = 20,411.88/x
  3. Step 3: Cross multiply
    70,338.27x = 105,517.80 × 20,411.88
  4. Step 4: Simplify right side
    70,338.27x = 2,153,816,671.46
  5. Step 5: Solve for x
    x = 2,153,816,671.46/70,338.27
  6. Step 6: Final answer
    x = 30,620.84

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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.