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Finding the Fourth Proportional to 140,697.92, 211,049.58 and 51,905.72

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Solution

The fourth proportional to 140,697.92, 211,049.58 and 51,905.72 is: 77,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,697.92 : 211,049.58 = 51,905.72 : x
  2. Step 2: Convert to fraction form
    140,697.92/211,049.58 = 51,905.72/x
  3. Step 3: Cross multiply
    140,697.92x = 211,049.58 × 51,905.72
  4. Step 4: Simplify right side
    140,697.92x = 10,954,680,405.60
  5. Step 5: Solve for x
    x = 10,954,680,405.60/140,697.92
  6. Step 6: Final answer
    x = 77,859.58

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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.