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Finding the Fourth Proportional to 51,987.20, 77,980.80 and 20,844.80

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Solution

The fourth proportional to 51,987.20, 77,980.80 and 20,844.80 is: 31,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987.20 : 77,980.80 = 20,844.80 : x
  2. Step 2: Convert to fraction form
    51,987.20/77,980.80 = 20,844.80/x
  3. Step 3: Cross multiply
    51,987.20x = 77,980.80 × 20,844.80
  4. Step 4: Simplify right side
    51,987.20x = 1,625,494,179.84
  5. Step 5: Solve for x
    x = 1,625,494,179.84/51,987.20
  6. Step 6: Final answer
    x = 31,267.20

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Similar ratio
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1.5x scale

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.