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Finding the Fourth Proportional to 82,021.40, 113,128.40 and 72,834.08

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Solution

The fourth proportional to 82,021.40, 113,128.40 and 72,834.08 is: 100,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,021.40 : 113,128.40 = 72,834.08 : x
  2. Step 2: Convert to fraction form
    82,021.40/113,128.40 = 72,834.08/x
  3. Step 3: Cross multiply
    82,021.40x = 113,128.40 × 72,834.08
  4. Step 4: Simplify right side
    82,021.40x = 8,239,602,935.87
  5. Step 5: Solve for x
    x = 8,239,602,935.87/82,021.40
  6. Step 6: Final answer
    x = 100,456.75

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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.