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Finding the Fourth Proportional to 74,378.88, 102,644.64 and 40,845.60

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Solution

The fourth proportional to 74,378.88, 102,644.64 and 40,845.60 is: 56,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,378.88 : 102,644.64 = 40,845.60 : x
  2. Step 2: Convert to fraction form
    74,378.88/102,644.64 = 40,845.60/x
  3. Step 3: Cross multiply
    74,378.88x = 102,644.64 × 40,845.60
  4. Step 4: Simplify right side
    74,378.88x = 4,192,581,907.58
  5. Step 5: Solve for x
    x = 4,192,581,907.58/74,378.88
  6. Step 6: Final answer
    x = 56,367.91

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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.