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Finding the Fourth Proportional to 40,076.50, 55,308.13 and 22,412.50

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Solution

The fourth proportional to 40,076.50, 55,308.13 and 22,412.50 is: 30,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,076.50 : 55,308.13 = 22,412.50 : x
  2. Step 2: Convert to fraction form
    40,076.50/55,308.13 = 22,412.50/x
  3. Step 3: Cross multiply
    40,076.50x = 55,308.13 × 22,412.50
  4. Step 4: Simplify right side
    40,076.50x = 1,239,593,463.63
  5. Step 5: Solve for x
    x = 1,239,593,463.63/40,076.50
  6. Step 6: Final answer
    x = 30,930.68

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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.