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Finding the Fourth Proportional to 153,163.52, 229,745.04 and 47,990.64

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Solution

The fourth proportional to 153,163.52, 229,745.04 and 47,990.64 is: 71,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,163.52 : 229,745.04 = 47,990.64 : x
  2. Step 2: Convert to fraction form
    153,163.52/229,745.04 = 47,990.64/x
  3. Step 3: Cross multiply
    153,163.52x = 229,745.04 × 47,990.64
  4. Step 4: Simplify right side
    153,163.52x = 11,025,611,506.43
  5. Step 5: Solve for x
    x = 11,025,611,506.43/153,163.52
  6. Step 6: Final answer
    x = 71,985.88

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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.