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Finding the Fourth Proportional to 74,382.96, 102,648.48 and 40,391.28

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Solution

The fourth proportional to 74,382.96, 102,648.48 and 40,391.28 is: 55,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,382.96 : 102,648.48 = 40,391.28 : x
  2. Step 2: Convert to fraction form
    74,382.96/102,648.48 = 40,391.28/x
  3. Step 3: Cross multiply
    74,382.96x = 102,648.48 × 40,391.28
  4. Step 4: Simplify right side
    74,382.96x = 4,146,103,497.25
  5. Step 5: Solve for x
    x = 4,146,103,497.25/74,382.96
  6. Step 6: Final answer
    x = 55,739.96

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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.