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Finding the Fourth Proportional to 63,942, 88,243 and 35,647.68

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Solution

The fourth proportional to 63,942, 88,243 and 35,647.68 is: 49,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,942 : 88,243 = 35,647.68 : x
  2. Step 2: Convert to fraction form
    63,942/88,243 = 35,647.68/x
  3. Step 3: Cross multiply
    63,942x = 88,243 × 35,647.68
  4. Step 4: Simplify right side
    63,942x = 3,145,658,226.24
  5. Step 5: Solve for x
    x = 3,145,658,226.24/63,942
  6. Step 6: Final answer
    x = 49,195.49

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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.