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Finding the Fourth Proportional to 74,049, 102,187.62 and 40,515

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Solution

The fourth proportional to 74,049, 102,187.62 and 40,515 is: 55,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,049 : 102,187.62 = 40,515 : x
  2. Step 2: Convert to fraction form
    74,049/102,187.62 = 40,515/x
  3. Step 3: Cross multiply
    74,049x = 102,187.62 × 40,515
  4. Step 4: Simplify right side
    74,049x = 4,140,131,424.30
  5. Step 5: Solve for x
    x = 4,140,131,424.30/74,049
  6. Step 6: Final answer
    x = 55,910.70

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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.