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Finding the Fourth Proportional to 82,136.66, 113,349.66 and 47,689.47

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Solution

The fourth proportional to 82,136.66, 113,349.66 and 47,689.47 is: 65,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,136.66 : 113,349.66 = 47,689.47 : x
  2. Step 2: Convert to fraction form
    82,136.66/113,349.66 = 47,689.47/x
  3. Step 3: Cross multiply
    82,136.66x = 113,349.66 × 47,689.47
  4. Step 4: Simplify right side
    82,136.66x = 5,405,585,433.62
  5. Step 5: Solve for x
    x = 5,405,585,433.62/82,136.66
  6. Step 6: Final answer
    x = 65,812.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.