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Finding the Fourth Proportional to 74,562.28, 102,894.42 and 40,571.44

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Solution

The fourth proportional to 74,562.28, 102,894.42 and 40,571.44 is: 55,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,562.28 : 102,894.42 = 40,571.44 : x
  2. Step 2: Convert to fraction form
    74,562.28/102,894.42 = 40,571.44/x
  3. Step 3: Cross multiply
    74,562.28x = 102,894.42 × 40,571.44
  4. Step 4: Simplify right side
    74,562.28x = 4,174,574,787.36
  5. Step 5: Solve for x
    x = 4,174,574,787.36/74,562.28
  6. Step 6: Final answer
    x = 55,987.76

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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.