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Finding the Fourth Proportional to 40,005, 60,010.46 and 15,381

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Solution

The fourth proportional to 40,005, 60,010.46 and 15,381 is: 23,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,005 : 60,010.46 = 15,381 : x
  2. Step 2: Convert to fraction form
    40,005/60,010.46 = 15,381/x
  3. Step 3: Cross multiply
    40,005x = 60,010.46 × 15,381
  4. Step 4: Simplify right side
    40,005x = 923,020,885.26
  5. Step 5: Solve for x
    x = 923,020,885.26/40,005
  6. Step 6: Final answer
    x = 23,072.64

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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.