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Finding the Fourth Proportional to 74,143.38, 102,365.01 and 48,694.89

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Solution

The fourth proportional to 74,143.38, 102,365.01 and 48,694.89 is: 67,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,143.38 : 102,365.01 = 48,694.89 : x
  2. Step 2: Convert to fraction form
    74,143.38/102,365.01 = 48,694.89/x
  3. Step 3: Cross multiply
    74,143.38x = 102,365.01 × 48,694.89
  4. Step 4: Simplify right side
    74,143.38x = 4,984,652,901.80
  5. Step 5: Solve for x
    x = 4,984,652,901.80/74,143.38
  6. Step 6: Final answer
    x = 67,229.91

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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.