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Finding the Fourth Proportional to 221,759.50, 306,028.12 and 121,157.50

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Solution

The fourth proportional to 221,759.50, 306,028.12 and 121,157.50 is: 167,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,759.50 : 306,028.12 = 121,157.50 : x
  2. Step 2: Convert to fraction form
    221,759.50/306,028.12 = 121,157.50/x
  3. Step 3: Cross multiply
    221,759.50x = 306,028.12 × 121,157.50
  4. Step 4: Simplify right side
    221,759.50x = 37,077,601,948.90
  5. Step 5: Solve for x
    x = 37,077,601,948.90/221,759.50
  6. Step 6: Final answer
    x = 167,197.36

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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.