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Finding the Fourth Proportional to 74,688.87, 103,069.31 and 40,697.60

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Solution

The fourth proportional to 74,688.87, 103,069.31 and 40,697.60 is: 56,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,688.87 : 103,069.31 = 40,697.60 : x
  2. Step 2: Convert to fraction form
    74,688.87/103,069.31 = 40,697.60/x
  3. Step 3: Cross multiply
    74,688.87x = 103,069.31 × 40,697.60
  4. Step 4: Simplify right side
    74,688.87x = 4,194,673,137.05
  5. Step 5: Solve for x
    x = 4,194,673,137.05/74,688.87
  6. Step 6: Final answer
    x = 56,161.96

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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.