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Finding the Fourth Proportional to 82,408.40, 123,535.80 and 57,448.40

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Solution

The fourth proportional to 82,408.40, 123,535.80 and 57,448.40 is: 86,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,408.40 : 123,535.80 = 57,448.40 : x
  2. Step 2: Convert to fraction form
    82,408.40/123,535.80 = 57,448.40/x
  3. Step 3: Cross multiply
    82,408.40x = 123,535.80 × 57,448.40
  4. Step 4: Simplify right side
    82,408.40x = 7,096,934,052.72
  5. Step 5: Solve for x
    x = 7,096,934,052.72/82,408.40
  6. Step 6: Final answer
    x = 86,119.06

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Why These Related Problems?

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