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Finding the Fourth Proportional to 40,134, 55,384.09 and 22,228.95

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Solution

The fourth proportional to 40,134, 55,384.09 and 22,228.95 is: 30,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,134 : 55,384.09 = 22,228.95 : x
  2. Step 2: Convert to fraction form
    40,134/55,384.09 = 22,228.95/x
  3. Step 3: Cross multiply
    40,134x = 55,384.09 × 22,228.95
  4. Step 4: Simplify right side
    40,134x = 1,231,130,167.41
  5. Step 5: Solve for x
    x = 1,231,130,167.41/40,134
  6. Step 6: Final answer
    x = 30,675.49

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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.