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Finding the Fourth Proportional to 82,633, 114,333.78 and 72,044.68

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Solution

The fourth proportional to 82,633, 114,333.78 and 72,044.68 is: 99,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,633 : 114,333.78 = 72,044.68 : x
  2. Step 2: Convert to fraction form
    82,633/114,333.78 = 72,044.68/x
  3. Step 3: Cross multiply
    82,633x = 114,333.78 × 72,044.68
  4. Step 4: Simplify right side
    82,633x = 8,237,140,593.29
  5. Step 5: Solve for x
    x = 8,237,140,593.29/82,633
  6. Step 6: Final answer
    x = 99,683.43

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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.