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Finding the Fourth Proportional to 71,414.40, 107,078.40 and 31,964.16

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Solution

The fourth proportional to 71,414.40, 107,078.40 and 31,964.16 is: 47,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414.40 : 107,078.40 = 31,964.16 : x
  2. Step 2: Convert to fraction form
    71,414.40/107,078.40 = 31,964.16/x
  3. Step 3: Cross multiply
    71,414.40x = 107,078.40 × 31,964.16
  4. Step 4: Simplify right side
    71,414.40x = 3,422,671,110.14
  5. Step 5: Solve for x
    x = 3,422,671,110.14/71,414.40
  6. Step 6: Final answer
    x = 47,926.90

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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.