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Finding the Fourth Proportional to 274,841.71, 412,242.72 and 85,297.12

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Solution

The fourth proportional to 274,841.71, 412,242.72 and 85,297.12 is: 127,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,841.71 : 412,242.72 = 85,297.12 : x
  2. Step 2: Convert to fraction form
    274,841.71/412,242.72 = 85,297.12/x
  3. Step 3: Cross multiply
    274,841.71x = 412,242.72 × 85,297.12
  4. Step 4: Simplify right side
    274,841.71x = 35,163,116,756.97
  5. Step 5: Solve for x
    x = 35,163,116,756.97/274,841.71
  6. Step 6: Final answer
    x = 127,939.52

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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.