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Finding the Fourth Proportional to 82,406.40, 123,739.20 and 47,414.40

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Solution

The fourth proportional to 82,406.40, 123,739.20 and 47,414.40 is: 71,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.40 : 123,739.20 = 47,414.40 : x
  2. Step 2: Convert to fraction form
    82,406.40/123,739.20 = 47,414.40/x
  3. Step 3: Cross multiply
    82,406.40x = 123,739.20 × 47,414.40
  4. Step 4: Simplify right side
    82,406.40x = 5,867,019,924.48
  5. Step 5: Solve for x
    x = 5,867,019,924.48/82,406.40
  6. Step 6: Final answer
    x = 71,196.17

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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.