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Finding the Fourth Proportional to 47,703.52, 71,581.20 and 20,020.96

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Solution

The fourth proportional to 47,703.52, 71,581.20 and 20,020.96 is: 30,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.52 : 71,581.20 = 20,020.96 : x
  2. Step 2: Convert to fraction form
    47,703.52/71,581.20 = 20,020.96/x
  3. Step 3: Cross multiply
    47,703.52x = 71,581.20 × 20,020.96
  4. Step 4: Simplify right side
    47,703.52x = 1,433,124,341.95
  5. Step 5: Solve for x
    x = 1,433,124,341.95/47,703.52
  6. Step 6: Final answer
    x = 30,042.32

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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.