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Finding the Fourth Proportional to 231,751.68, 347,410.88 and 81,908.16

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Solution

The fourth proportional to 231,751.68, 347,410.88 and 81,908.16 is: 122,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,751.68 : 347,410.88 = 81,908.16 : x
  2. Step 2: Convert to fraction form
    231,751.68/347,410.88 = 81,908.16/x
  3. Step 3: Cross multiply
    231,751.68x = 347,410.88 × 81,908.16
  4. Step 4: Simplify right side
    231,751.68x = 28,455,785,944.78
  5. Step 5: Solve for x
    x = 28,455,785,944.78/231,751.68
  6. Step 6: Final answer
    x = 122,785.67

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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.