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Finding the Fourth Proportional to 121,740.70, 182,486.85 and 82,301.80

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Solution

The fourth proportional to 121,740.70, 182,486.85 and 82,301.80 is: 123,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,740.70 : 182,486.85 = 82,301.80 : x
  2. Step 2: Convert to fraction form
    121,740.70/182,486.85 = 82,301.80/x
  3. Step 3: Cross multiply
    121,740.70x = 182,486.85 × 82,301.80
  4. Step 4: Simplify right side
    121,740.70x = 15,018,996,231.33
  5. Step 5: Solve for x
    x = 15,018,996,231.33/121,740.70
  6. Step 6: Final answer
    x = 123,368.74

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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.