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Finding the Fourth Proportional to 82,071, 123,119.64 and 34,686.48

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Solution

The fourth proportional to 82,071, 123,119.64 and 34,686.48 is: 52,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,071 : 123,119.64 = 34,686.48 : x
  2. Step 2: Convert to fraction form
    82,071/123,119.64 = 34,686.48/x
  3. Step 3: Cross multiply
    82,071x = 123,119.64 × 34,686.48
  4. Step 4: Simplify right side
    82,071x = 4,270,586,930.47
  5. Step 5: Solve for x
    x = 4,270,586,930.47/82,071
  6. Step 6: Final answer
    x = 52,035.27

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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.