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Finding the Fourth Proportional to 198,224, 273,551.16 and 107,580.74

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Solution

The fourth proportional to 198,224, 273,551.16 and 107,580.74 is: 148,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,224 : 273,551.16 = 107,580.74 : x
  2. Step 2: Convert to fraction form
    198,224/273,551.16 = 107,580.74/x
  3. Step 3: Cross multiply
    198,224x = 273,551.16 × 107,580.74
  4. Step 4: Simplify right side
    198,224x = 29,428,836,220.66
  5. Step 5: Solve for x
    x = 29,428,836,220.66/198,224
  6. Step 6: Final answer
    x = 148,462.53

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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.