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Finding the Fourth Proportional to 140,115.80, 210,149.40 and 51,323.60

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Solution

The fourth proportional to 140,115.80, 210,149.40 and 51,323.60 is: 76,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,115.80 : 210,149.40 = 51,323.60 : x
  2. Step 2: Convert to fraction form
    140,115.80/210,149.40 = 51,323.60/x
  3. Step 3: Cross multiply
    140,115.80x = 210,149.40 × 51,323.60
  4. Step 4: Simplify right side
    140,115.80x = 10,785,623,745.84
  5. Step 5: Solve for x
    x = 10,785,623,745.84/140,115.80
  6. Step 6: Final answer
    x = 76,976.50

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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.