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Finding the Fourth Proportional to 70,817.61, 106,189.80 and 20,891.34

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Solution

The fourth proportional to 70,817.61, 106,189.80 and 20,891.34 is: 31,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,817.61 : 106,189.80 = 20,891.34 : x
  2. Step 2: Convert to fraction form
    70,817.61/106,189.80 = 20,891.34/x
  3. Step 3: Cross multiply
    70,817.61x = 106,189.80 × 20,891.34
  4. Step 4: Simplify right side
    70,817.61x = 2,218,447,216.33
  5. Step 5: Solve for x
    x = 2,218,447,216.33/70,817.61
  6. Step 6: Final answer
    x = 31,326.21

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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.