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Finding the Fourth Proportional to 140,145.98, 210,093.98 and 51,378.80

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Solution

The fourth proportional to 140,145.98, 210,093.98 and 51,378.80 is: 77,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,145.98 : 210,093.98 = 51,378.80 : x
  2. Step 2: Convert to fraction form
    140,145.98/210,093.98 = 51,378.80/x
  3. Step 3: Cross multiply
    140,145.98x = 210,093.98 × 51,378.80
  4. Step 4: Simplify right side
    140,145.98x = 10,794,375,272.26
  5. Step 5: Solve for x
    x = 10,794,375,272.26/140,145.98
  6. Step 6: Final answer
    x = 77,022.37

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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.