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Finding the Fourth Proportional to 82,101, 123,113.22 and 42,647.52

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Solution

The fourth proportional to 82,101, 123,113.22 and 42,647.52 is: 63,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,101 : 123,113.22 = 42,647.52 : x
  2. Step 2: Convert to fraction form
    82,101/123,113.22 = 42,647.52/x
  3. Step 3: Cross multiply
    82,101x = 123,113.22 × 42,647.52
  4. Step 4: Simplify right side
    82,101x = 5,250,473,512.21
  5. Step 5: Solve for x
    x = 5,250,473,512.21/82,101
  6. Step 6: Final answer
    x = 63,951.40

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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.