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Finding the Fourth Proportional to 82,432.42, 123,661.50 and 26,285.11

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Solution

The fourth proportional to 82,432.42, 123,661.50 and 26,285.11 is: 39,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,432.42 : 123,661.50 = 26,285.11 : x
  2. Step 2: Convert to fraction form
    82,432.42/123,661.50 = 26,285.11/x
  3. Step 3: Cross multiply
    82,432.42x = 123,661.50 × 26,285.11
  4. Step 4: Simplify right side
    82,432.42x = 3,250,456,130.27
  5. Step 5: Solve for x
    x = 3,250,456,130.27/82,432.42
  6. Step 6: Final answer
    x = 39,431.77

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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.