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Finding the Fourth Proportional to 73,985.50, 102,076.49 and 43,781.21

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Solution

The fourth proportional to 73,985.50, 102,076.49 and 43,781.21 is: 60,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,985.50 : 102,076.49 = 43,781.21 : x
  2. Step 2: Convert to fraction form
    73,985.50/102,076.49 = 43,781.21/x
  3. Step 3: Cross multiply
    73,985.50x = 102,076.49 × 43,781.21
  4. Step 4: Simplify right side
    73,985.50x = 4,469,031,515.46
  5. Step 5: Solve for x
    x = 4,469,031,515.46/73,985.50
  6. Step 6: Final answer
    x = 60,404.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.