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Finding the Fourth Proportional to 82,021.40, 113,128.41 and 72,834.07

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Solution

The fourth proportional to 82,021.40, 113,128.41 and 72,834.07 is: 100,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,021.40 : 113,128.41 = 72,834.07 : x
  2. Step 2: Convert to fraction form
    82,021.40/113,128.41 = 72,834.07/x
  3. Step 3: Cross multiply
    82,021.40x = 113,128.41 × 72,834.07
  4. Step 4: Simplify right side
    82,021.40x = 8,239,602,532.93
  5. Step 5: Solve for x
    x = 8,239,602,532.93/82,021.40
  6. Step 6: Final answer
    x = 100,456.74

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1.5x scale

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.