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Finding the Fourth Proportional to 82,782.40, 124,103.40 and 30,161.20

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Solution

The fourth proportional to 82,782.40, 124,103.40 and 30,161.20 is: 45,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,782.40 : 124,103.40 = 30,161.20 : x
  2. Step 2: Convert to fraction form
    82,782.40/124,103.40 = 30,161.20/x
  3. Step 3: Cross multiply
    82,782.40x = 124,103.40 × 30,161.20
  4. Step 4: Simplify right side
    82,782.40x = 3,743,107,468.08
  5. Step 5: Solve for x
    x = 3,743,107,468.08/82,782.40
  6. Step 6: Final answer
    x = 45,216.22

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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.