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Finding the Fourth Proportional to 140,504.78, 210,709.55 and 45,711.54

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Solution

The fourth proportional to 140,504.78, 210,709.55 and 45,711.54 is: 68,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,504.78 : 210,709.55 = 45,711.54 : x
  2. Step 2: Convert to fraction form
    140,504.78/210,709.55 = 45,711.54/x
  3. Step 3: Cross multiply
    140,504.78x = 210,709.55 × 45,711.54
  4. Step 4: Simplify right side
    140,504.78x = 9,631,858,137.49
  5. Step 5: Solve for x
    x = 9,631,858,137.49/140,504.78
  6. Step 6: Final answer
    x = 68,551.82

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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.