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Finding the Fourth Proportional to 193,220.40, 289,830.60 and 137,233.20

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Solution

The fourth proportional to 193,220.40, 289,830.60 and 137,233.20 is: 205,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,220.40 : 289,830.60 = 137,233.20 : x
  2. Step 2: Convert to fraction form
    193,220.40/289,830.60 = 137,233.20/x
  3. Step 3: Cross multiply
    193,220.40x = 289,830.60 × 137,233.20
  4. Step 4: Simplify right side
    193,220.40x = 39,774,380,695.92
  5. Step 5: Solve for x
    x = 39,774,380,695.92/193,220.40
  6. Step 6: Final answer
    x = 205,849.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.