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Finding the Fourth Proportional to 71,103.89, 106,655.84 and 21,182.70

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Solution

The fourth proportional to 71,103.89, 106,655.84 and 21,182.70 is: 31,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,103.89 : 106,655.84 = 21,182.70 : x
  2. Step 2: Convert to fraction form
    71,103.89/106,655.84 = 21,182.70/x
  3. Step 3: Cross multiply
    71,103.89x = 106,655.84 × 21,182.70
  4. Step 4: Simplify right side
    71,103.89x = 2,259,258,289.41
  5. Step 5: Solve for x
    x = 2,259,258,289.41/71,103.89
  6. Step 6: Final answer
    x = 31,774.05

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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.