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Finding the Fourth Proportional to 268,085.70, 401,516.12 and 127,942.74

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Solution

The fourth proportional to 268,085.70, 401,516.12 and 127,942.74 is: 191,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,085.70 : 401,516.12 = 127,942.74 : x
  2. Step 2: Convert to fraction form
    268,085.70/401,516.12 = 127,942.74/x
  3. Step 3: Cross multiply
    268,085.70x = 401,516.12 × 127,942.74
  4. Step 4: Simplify right side
    268,085.70x = 51,371,072,866.83
  5. Step 5: Solve for x
    x = 51,371,072,866.83/268,085.70
  6. Step 6: Final answer
    x = 191,621.83

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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.