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Finding the Fourth Proportional to 74,488.60, 102,794.26 and 40,954.60

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Solution

The fourth proportional to 74,488.60, 102,794.26 and 40,954.60 is: 56,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,488.60 : 102,794.26 = 40,954.60 : x
  2. Step 2: Convert to fraction form
    74,488.60/102,794.26 = 40,954.60/x
  3. Step 3: Cross multiply
    74,488.60x = 102,794.26 × 40,954.60
  4. Step 4: Simplify right side
    74,488.60x = 4,209,897,441.22
  5. Step 5: Solve for x
    x = 4,209,897,441.22/74,488.60
  6. Step 6: Final answer
    x = 56,517.34

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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.