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Finding the Fourth Proportional to 159,665.96, 238,905.42 and 100,223.40

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Solution

The fourth proportional to 159,665.96, 238,905.42 and 100,223.40 is: 149,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,665.96 : 238,905.42 = 100,223.40 : x
  2. Step 2: Convert to fraction form
    159,665.96/238,905.42 = 100,223.40/x
  3. Step 3: Cross multiply
    159,665.96x = 238,905.42 × 100,223.40
  4. Step 4: Simplify right side
    159,665.96x = 23,943,913,470.83
  5. Step 5: Solve for x
    x = 23,943,913,470.83/159,665.96
  6. Step 6: Final answer
    x = 149,962.54

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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.