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Finding the Fourth Proportional to 157,813, 217,788.42 and 90,745

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Solution

The fourth proportional to 157,813, 217,788.42 and 90,745 is: 125,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,813 : 217,788.42 = 90,745 : x
  2. Step 2: Convert to fraction form
    157,813/217,788.42 = 90,745/x
  3. Step 3: Cross multiply
    157,813x = 217,788.42 × 90,745
  4. Step 4: Simplify right side
    157,813x = 19,763,210,172.90
  5. Step 5: Solve for x
    x = 19,763,210,172.90/157,813
  6. Step 6: Final answer
    x = 125,231.83

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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.