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Finding the Fourth Proportional to 53,356.50, 80,022.60 and 20,080.08

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Solution

The fourth proportional to 53,356.50, 80,022.60 and 20,080.08 is: 30,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,356.50 : 80,022.60 = 20,080.08 : x
  2. Step 2: Convert to fraction form
    53,356.50/80,022.60 = 20,080.08/x
  3. Step 3: Cross multiply
    53,356.50x = 80,022.60 × 20,080.08
  4. Step 4: Simplify right side
    53,356.50x = 1,606,860,209.81
  5. Step 5: Solve for x
    x = 1,606,860,209.81/53,356.50
  6. Step 6: Final answer
    x = 30,115.55

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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.