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Finding the Fourth Proportional to 210,076.60, 315,422.10 and 148,022.20

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Solution

The fourth proportional to 210,076.60, 315,422.10 and 148,022.20 is: 222,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,076.60 : 315,422.10 = 148,022.20 : x
  2. Step 2: Convert to fraction form
    210,076.60/315,422.10 = 148,022.20/x
  3. Step 3: Cross multiply
    210,076.60x = 315,422.10 × 148,022.20
  4. Step 4: Simplify right side
    210,076.60x = 46,689,473,170.62
  5. Step 5: Solve for x
    x = 46,689,473,170.62/210,076.60
  6. Step 6: Final answer
    x = 222,249.76

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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.