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Finding the Fourth Proportional to 157,832, 217,814.66 and 90,764

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Solution

The fourth proportional to 157,832, 217,814.66 and 90,764 is: 125,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,832 : 217,814.66 = 90,764 : x
  2. Step 2: Convert to fraction form
    157,832/217,814.66 = 90,764/x
  3. Step 3: Cross multiply
    157,832x = 217,814.66 × 90,764
  4. Step 4: Simplify right side
    157,832x = 19,769,729,800.24
  5. Step 5: Solve for x
    x = 19,769,729,800.24/157,832
  6. Step 6: Final answer
    x = 125,258.06

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