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Finding the Fourth Proportional to 82,003.65, 122,811.07 and 82,003.65

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Solution

The fourth proportional to 82,003.65, 122,811.07 and 82,003.65 is: 122,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.65 : 122,811.07 = 82,003.65 : x
  2. Step 2: Convert to fraction form
    82,003.65/122,811.07 = 82,003.65/x
  3. Step 3: Cross multiply
    82,003.65x = 122,811.07 × 82,003.65
  4. Step 4: Simplify right side
    82,003.65x = 10,070,956,000.41
  5. Step 5: Solve for x
    x = 10,070,956,000.41/82,003.65
  6. Step 6: Final answer
    x = 122,811.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.