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Finding the Fourth Proportional to 147,652.91, 221,514.60 and 47,813.21

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Solution

The fourth proportional to 147,652.91, 221,514.60 and 47,813.21 is: 71,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,652.91 : 221,514.60 = 47,813.21 : x
  2. Step 2: Convert to fraction form
    147,652.91/221,514.60 = 47,813.21/x
  3. Step 3: Cross multiply
    147,652.91x = 221,514.60 × 47,813.21
  4. Step 4: Simplify right side
    147,652.91x = 10,591,324,087.87
  5. Step 5: Solve for x
    x = 10,591,324,087.87/147,652.91
  6. Step 6: Final answer
    x = 71,731.22

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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.