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Finding the Fourth Proportional to 82,089, 123,146.64 and 34,704.60

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Solution

The fourth proportional to 82,089, 123,146.64 and 34,704.60 is: 52,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,089 : 123,146.64 = 34,704.60 : x
  2. Step 2: Convert to fraction form
    82,089/123,146.64 = 34,704.60/x
  3. Step 3: Cross multiply
    82,089x = 123,146.64 × 34,704.60
  4. Step 4: Simplify right side
    82,089x = 4,273,754,882.54
  5. Step 5: Solve for x
    x = 4,273,754,882.54/82,089
  6. Step 6: Final answer
    x = 52,062.46

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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.