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Finding the Fourth Proportional to 82,039.70, 115,205.50 and 82,039.70

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Solution

The fourth proportional to 82,039.70, 115,205.50 and 82,039.70 is: 115,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,039.70 : 115,205.50 = 82,039.70 : x
  2. Step 2: Convert to fraction form
    82,039.70/115,205.50 = 82,039.70/x
  3. Step 3: Cross multiply
    82,039.70x = 115,205.50 × 82,039.70
  4. Step 4: Simplify right side
    82,039.70x = 9,451,424,658.35
  5. Step 5: Solve for x
    x = 9,451,424,658.35/82,039.70
  6. Step 6: Final answer
    x = 115,205.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.