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Finding the Fourth Proportional to 82,114.84, 123,133.97 and 42,661.36

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Solution

The fourth proportional to 82,114.84, 123,133.97 and 42,661.36 is: 63,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,114.84 : 123,133.97 = 42,661.36 : x
  2. Step 2: Convert to fraction form
    82,114.84/123,133.97 = 42,661.36/x
  3. Step 3: Cross multiply
    82,114.84x = 123,133.97 × 42,661.36
  4. Step 4: Simplify right side
    82,114.84x = 5,253,062,421.22
  5. Step 5: Solve for x
    x = 5,253,062,421.22/82,114.84
  6. Step 6: Final answer
    x = 63,972.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.