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Finding the Fourth Proportional to 51,357.60, 77,043.60 and 20,185.60

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Solution

The fourth proportional to 51,357.60, 77,043.60 and 20,185.60 is: 30,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,357.60 : 77,043.60 = 20,185.60 : x
  2. Step 2: Convert to fraction form
    51,357.60/77,043.60 = 20,185.60/x
  3. Step 3: Cross multiply
    51,357.60x = 77,043.60 × 20,185.60
  4. Step 4: Simplify right side
    51,357.60x = 1,555,171,292.16
  5. Step 5: Solve for x
    x = 1,555,171,292.16/51,357.60
  6. Step 6: Final answer
    x = 30,281.23

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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.