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Finding the Fourth Proportional to 140,481.46, 210,743.16 and 51,728.14

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Solution

The fourth proportional to 140,481.46, 210,743.16 and 51,728.14 is: 77,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,481.46 : 210,743.16 = 51,728.14 : x
  2. Step 2: Convert to fraction form
    140,481.46/210,743.16 = 51,728.14/x
  3. Step 3: Cross multiply
    140,481.46x = 210,743.16 × 51,728.14
  4. Step 4: Simplify right side
    140,481.46x = 10,901,351,684.52
  5. Step 5: Solve for x
    x = 10,901,351,684.52/140,481.46
  6. Step 6: Final answer
    x = 77,599.93

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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.