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Finding the Fourth Proportional to 51,679.80, 77,519.70 and 31,980.60

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Solution

The fourth proportional to 51,679.80, 77,519.70 and 31,980.60 is: 47,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,679.80 : 77,519.70 = 31,980.60 : x
  2. Step 2: Convert to fraction form
    51,679.80/77,519.70 = 31,980.60/x
  3. Step 3: Cross multiply
    51,679.80x = 77,519.70 × 31,980.60
  4. Step 4: Simplify right side
    51,679.80x = 2,479,126,517.82
  5. Step 5: Solve for x
    x = 2,479,126,517.82/51,679.80
  6. Step 6: Final answer
    x = 47,970.90

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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.