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Finding the Fourth Proportional to 144,172.21, 216,241.90 and 38,982.98

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Solution

The fourth proportional to 144,172.21, 216,241.90 and 38,982.98 is: 58,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,172.21 : 216,241.90 = 38,982.98 : x
  2. Step 2: Convert to fraction form
    144,172.21/216,241.90 = 38,982.98/x
  3. Step 3: Cross multiply
    144,172.21x = 216,241.90 × 38,982.98
  4. Step 4: Simplify right side
    144,172.21x = 8,429,753,662.86
  5. Step 5: Solve for x
    x = 8,429,753,662.86/144,172.21
  6. Step 6: Final answer
    x = 58,470.03

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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.