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Finding the Fourth Proportional to 157,404.69, 217,121.40 and 96,122.16

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Solution

The fourth proportional to 157,404.69, 217,121.40 and 96,122.16 is: 132,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,404.69 : 217,121.40 = 96,122.16 : x
  2. Step 2: Convert to fraction form
    157,404.69/217,121.40 = 96,122.16/x
  3. Step 3: Cross multiply
    157,404.69x = 217,121.40 × 96,122.16
  4. Step 4: Simplify right side
    157,404.69x = 20,870,177,950.22
  5. Step 5: Solve for x
    x = 20,870,177,950.22/157,404.69
  6. Step 6: Final answer
    x = 132,589.30

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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.