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Finding the Fourth Proportional to 71,214.39, 106,820.64 and 21,294.90

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Solution

The fourth proportional to 71,214.39, 106,820.64 and 21,294.90 is: 31,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,214.39 : 106,820.64 = 21,294.90 : x
  2. Step 2: Convert to fraction form
    71,214.39/106,820.64 = 21,294.90/x
  3. Step 3: Cross multiply
    71,214.39x = 106,820.64 × 21,294.90
  4. Step 4: Simplify right side
    71,214.39x = 2,274,734,846.74
  5. Step 5: Solve for x
    x = 2,274,734,846.74/71,214.39
  6. Step 6: Final answer
    x = 31,942.07

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1.5x scale

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.