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Finding the Fourth Proportional to 82,874.81, 124,349.11 and 43,422.71

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Solution

The fourth proportional to 82,874.81, 124,349.11 and 43,422.71 is: 65,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,874.81 : 124,349.11 = 43,422.71 : x
  2. Step 2: Convert to fraction form
    82,874.81/124,349.11 = 43,422.71/x
  3. Step 3: Cross multiply
    82,874.81x = 124,349.11 × 43,422.71
  4. Step 4: Simplify right side
    82,874.81x = 5,399,574,611.99
  5. Step 5: Solve for x
    x = 5,399,574,611.99/82,874.81
  6. Step 6: Final answer
    x = 65,153.39

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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.