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Finding the Fourth Proportional to 51,359.60, 77,046.60 and 20,187.60

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Solution

The fourth proportional to 51,359.60, 77,046.60 and 20,187.60 is: 30,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,359.60 : 77,046.60 = 20,187.60 : x
  2. Step 2: Convert to fraction form
    51,359.60/77,046.60 = 20,187.60/x
  3. Step 3: Cross multiply
    51,359.60x = 77,046.60 × 20,187.60
  4. Step 4: Simplify right side
    51,359.60x = 1,555,385,942.16
  5. Step 5: Solve for x
    x = 1,555,385,942.16/51,359.60
  6. Step 6: Final answer
    x = 30,284.23

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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.