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Finding the Fourth Proportional to 65,874.33, 98,811.63 and 30,838.59

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Solution

The fourth proportional to 65,874.33, 98,811.63 and 30,838.59 is: 46,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,874.33 : 98,811.63 = 30,838.59 : x
  2. Step 2: Convert to fraction form
    65,874.33/98,811.63 = 30,838.59/x
  3. Step 3: Cross multiply
    65,874.33x = 98,811.63 × 30,838.59
  4. Step 4: Simplify right side
    65,874.33x = 3,047,211,344.80
  5. Step 5: Solve for x
    x = 3,047,211,344.80/65,874.33
  6. Step 6: Final answer
    x = 46,257.95

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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.