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Finding the Fourth Proportional to 43,898.34, 65,849.13 and 20,518.50

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Solution

The fourth proportional to 43,898.34, 65,849.13 and 20,518.50 is: 30,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,898.34 : 65,849.13 = 20,518.50 : x
  2. Step 2: Convert to fraction form
    43,898.34/65,849.13 = 20,518.50/x
  3. Step 3: Cross multiply
    43,898.34x = 65,849.13 × 20,518.50
  4. Step 4: Simplify right side
    43,898.34x = 1,351,125,373.91
  5. Step 5: Solve for x
    x = 1,351,125,373.91/43,898.34
  6. Step 6: Final answer
    x = 30,778.51

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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.