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Finding the Fourth Proportional to 159,321.60, 239,015.16 and 133,208.82

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Solution

The fourth proportional to 159,321.60, 239,015.16 and 133,208.82 is: 199,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,321.60 : 239,015.16 = 133,208.82 : x
  2. Step 2: Convert to fraction form
    159,321.60/239,015.16 = 133,208.82/x
  3. Step 3: Cross multiply
    159,321.60x = 239,015.16 × 133,208.82
  4. Step 4: Simplify right side
    159,321.60x = 31,838,927,425.71
  5. Step 5: Solve for x
    x = 31,838,927,425.71/159,321.60
  6. Step 6: Final answer
    x = 199,840.62

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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.