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Finding the Fourth Proportional to 235,644.67, 324,811.54 and 159,139.31

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Solution

The fourth proportional to 235,644.67, 324,811.54 and 159,139.31 is: 219,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,644.67 : 324,811.54 = 159,139.31 : x
  2. Step 2: Convert to fraction form
    235,644.67/324,811.54 = 159,139.31/x
  3. Step 3: Cross multiply
    235,644.67x = 324,811.54 × 159,139.31
  4. Step 4: Simplify right side
    235,644.67x = 51,690,284,355.64
  5. Step 5: Solve for x
    x = 51,690,284,355.64/235,644.67
  6. Step 6: Final answer
    x = 219,356.90

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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.