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Finding the Fourth Proportional to 71,150.95, 106,731.83 and 21,227.14

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Solution

The fourth proportional to 71,150.95, 106,731.83 and 21,227.14 is: 31,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,150.95 : 106,731.83 = 21,227.14 : x
  2. Step 2: Convert to fraction form
    71,150.95/106,731.83 = 21,227.14/x
  3. Step 3: Cross multiply
    71,150.95x = 106,731.83 × 21,227.14
  4. Step 4: Simplify right side
    71,150.95x = 2,265,611,497.87
  5. Step 5: Solve for x
    x = 2,265,611,497.87/71,150.95
  6. Step 6: Final answer
    x = 31,842.32

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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.