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Finding the Fourth Proportional to 53,410.70, 80,116.05 and 40,969.10

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Solution

The fourth proportional to 53,410.70, 80,116.05 and 40,969.10 is: 61,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,410.70 : 80,116.05 = 40,969.10 : x
  2. Step 2: Convert to fraction form
    53,410.70/80,116.05 = 40,969.10/x
  3. Step 3: Cross multiply
    53,410.70x = 80,116.05 × 40,969.10
  4. Step 4: Simplify right side
    53,410.70x = 3,282,282,464.06
  5. Step 5: Solve for x
    x = 3,282,282,464.06/53,410.70
  6. Step 6: Final answer
    x = 61,453.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.