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Finding the Fourth Proportional to 159,163.80, 238,748.31 and 53,985.48

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Solution

The fourth proportional to 159,163.80, 238,748.31 and 53,985.48 is: 80,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,163.80 : 238,748.31 = 53,985.48 : x
  2. Step 2: Convert to fraction form
    159,163.80/238,748.31 = 53,985.48/x
  3. Step 3: Cross multiply
    159,163.80x = 238,748.31 × 53,985.48
  4. Step 4: Simplify right side
    159,163.80x = 12,888,942,114.54
  5. Step 5: Solve for x
    x = 12,888,942,114.54/159,163.80
  6. Step 6: Final answer
    x = 80,979.11

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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.