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Finding the Fourth Proportional to 221,791, 306,071.24 and 126,297.72

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Solution

The fourth proportional to 221,791, 306,071.24 and 126,297.72 is: 174,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,791 : 306,071.24 = 126,297.72 : x
  2. Step 2: Convert to fraction form
    221,791/306,071.24 = 126,297.72/x
  3. Step 3: Cross multiply
    221,791x = 306,071.24 × 126,297.72
  4. Step 4: Simplify right side
    221,791x = 38,656,099,769.57
  5. Step 5: Solve for x
    x = 38,656,099,769.57/221,791
  6. Step 6: Final answer
    x = 174,290.66

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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.