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Finding the Fourth Proportional to 71,686, 98,922 and 39,853.72

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Solution

The fourth proportional to 71,686, 98,922 and 39,853.72 is: 54,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,686 : 98,922 = 39,853.72 : x
  2. Step 2: Convert to fraction form
    71,686/98,922 = 39,853.72/x
  3. Step 3: Cross multiply
    71,686x = 98,922 × 39,853.72
  4. Step 4: Simplify right side
    71,686x = 3,942,409,689.84
  5. Step 5: Solve for x
    x = 3,942,409,689.84/71,686
  6. Step 6: Final answer
    x = 54,995.53

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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.