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Finding the Fourth Proportional to 150,396, 207,546.50 and 89,969.19

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Solution

The fourth proportional to 150,396, 207,546.50 and 89,969.19 is: 124,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,396 : 207,546.50 = 89,969.19 : x
  2. Step 2: Convert to fraction form
    150,396/207,546.50 = 89,969.19/x
  3. Step 3: Cross multiply
    150,396x = 207,546.50 × 89,969.19
  4. Step 4: Simplify right side
    150,396x = 18,672,790,717.26
  5. Step 5: Solve for x
    x = 18,672,790,717.26/150,396
  6. Step 6: Final answer
    x = 124,157.50

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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.