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Finding the Fourth Proportional to 159,647.60, 239,428.20 and 47,327.60

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Solution

The fourth proportional to 159,647.60, 239,428.20 and 47,327.60 is: 70,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,647.60 : 239,428.20 = 47,327.60 : x
  2. Step 2: Convert to fraction form
    159,647.60/239,428.20 = 47,327.60/x
  3. Step 3: Cross multiply
    159,647.60x = 239,428.20 × 47,327.60
  4. Step 4: Simplify right side
    159,647.60x = 11,331,562,078.32
  5. Step 5: Solve for x
    x = 11,331,562,078.32/159,647.60
  6. Step 6: Final answer
    x = 70,978.59

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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.