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Finding the Fourth Proportional to 71,415.40, 107,079.90 and 31,965.16

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Solution

The fourth proportional to 71,415.40, 107,079.90 and 31,965.16 is: 47,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,415.40 : 107,079.90 = 31,965.16 : x
  2. Step 2: Convert to fraction form
    71,415.40/107,079.90 = 31,965.16/x
  3. Step 3: Cross multiply
    71,415.40x = 107,079.90 × 31,965.16
  4. Step 4: Simplify right side
    71,415.40x = 3,422,826,136.28
  5. Step 5: Solve for x
    x = 3,422,826,136.28/71,415.40
  6. Step 6: Final answer
    x = 47,928.40

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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.