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Finding the Fourth Proportional to 157,811, 217,785.66 and 90,743

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Solution

The fourth proportional to 157,811, 217,785.66 and 90,743 is: 125,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,811 : 217,785.66 = 90,743 : x
  2. Step 2: Convert to fraction form
    157,811/217,785.66 = 90,743/x
  3. Step 3: Cross multiply
    157,811x = 217,785.66 × 90,743
  4. Step 4: Simplify right side
    157,811x = 19,762,524,145.38
  5. Step 5: Solve for x
    x = 19,762,524,145.38/157,811
  6. Step 6: Final answer
    x = 125,229.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.