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Finding the Fourth Proportional to 65,867, 98,800.72 and 15,947

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Solution

The fourth proportional to 65,867, 98,800.72 and 15,947 is: 23,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,867 : 98,800.72 = 15,947 : x
  2. Step 2: Convert to fraction form
    65,867/98,800.72 = 15,947/x
  3. Step 3: Cross multiply
    65,867x = 98,800.72 × 15,947
  4. Step 4: Simplify right side
    65,867x = 1,575,575,081.84
  5. Step 5: Solve for x
    x = 1,575,575,081.84/65,867
  6. Step 6: Final answer
    x = 23,920.55

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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.