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Finding the Fourth Proportional to 140,688.78, 210,850.11 and 107,286

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Solution

The fourth proportional to 140,688.78, 210,850.11 and 107,286 is: 160,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,688.78 : 210,850.11 = 107,286 : x
  2. Step 2: Convert to fraction form
    140,688.78/210,850.11 = 107,286/x
  3. Step 3: Cross multiply
    140,688.78x = 210,850.11 × 107,286
  4. Step 4: Simplify right side
    140,688.78x = 22,621,264,901.46
  5. Step 5: Solve for x
    x = 22,621,264,901.46/140,688.78
  6. Step 6: Final answer
    x = 160,789.40

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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.