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Finding the Fourth Proportional to 63,852, 95,778 and 20,076

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Solution

The fourth proportional to 63,852, 95,778 and 20,076 is: 30,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,852 : 95,778 = 20,076 : x
  2. Step 2: Convert to fraction form
    63,852/95,778 = 20,076/x
  3. Step 3: Cross multiply
    63,852x = 95,778 × 20,076
  4. Step 4: Simplify right side
    63,852x = 1,922,839,128
  5. Step 5: Solve for x
    x = 1,922,839,128/63,852
  6. Step 6: Final answer
    x = 30,114

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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.