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Finding the Fourth Proportional to 98,480.32, 135,856.38 and 71,611

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Solution

The fourth proportional to 98,480.32, 135,856.38 and 71,611 is: 98,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,480.32 : 135,856.38 = 71,611 : x
  2. Step 2: Convert to fraction form
    98,480.32/135,856.38 = 71,611/x
  3. Step 3: Cross multiply
    98,480.32x = 135,856.38 × 71,611
  4. Step 4: Simplify right side
    98,480.32x = 9,728,811,228.18
  5. Step 5: Solve for x
    x = 9,728,811,228.18/98,480.32
  6. Step 6: Final answer
    x = 98,789.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.