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Finding the Fourth Proportional to 45,126, 67,672.26 and 20,141.28

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Solution

The fourth proportional to 45,126, 67,672.26 and 20,141.28 is: 30,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,126 : 67,672.26 = 20,141.28 : x
  2. Step 2: Convert to fraction form
    45,126/67,672.26 = 20,141.28/x
  3. Step 3: Cross multiply
    45,126x = 67,672.26 × 20,141.28
  4. Step 4: Simplify right side
    45,126x = 1,363,005,936.89
  5. Step 5: Solve for x
    x = 1,363,005,936.89/45,126
  6. Step 6: Final answer
    x = 30,204.45

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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.