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Finding the Fourth Proportional to 159,427.40, 239,141.10 and 133,766.60

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Solution

The fourth proportional to 159,427.40, 239,141.10 and 133,766.60 is: 200,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,427.40 : 239,141.10 = 133,766.60 : x
  2. Step 2: Convert to fraction form
    159,427.40/239,141.10 = 133,766.60/x
  3. Step 3: Cross multiply
    159,427.40x = 239,141.10 × 133,766.60
  4. Step 4: Simplify right side
    159,427.40x = 31,989,091,867.26
  5. Step 5: Solve for x
    x = 31,989,091,867.26/159,427.40
  6. Step 6: Final answer
    x = 200,649.90

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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.