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Finding the Fourth Proportional to 62,638.68, 86,436 and 35,775.84

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Solution

The fourth proportional to 62,638.68, 86,436 and 35,775.84 is: 49,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,638.68 : 86,436 = 35,775.84 : x
  2. Step 2: Convert to fraction form
    62,638.68/86,436 = 35,775.84/x
  3. Step 3: Cross multiply
    62,638.68x = 86,436 × 35,775.84
  4. Step 4: Simplify right side
    62,638.68x = 3,092,320,506.24
  5. Step 5: Solve for x
    x = 3,092,320,506.24/62,638.68
  6. Step 6: Final answer
    x = 49,367.59

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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.