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Finding the Fourth Proportional to 140,003.78, 210,006.42 and 34,822.75

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Solution

The fourth proportional to 140,003.78, 210,006.42 and 34,822.75 is: 52,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,003.78 : 210,006.42 = 34,822.75 : x
  2. Step 2: Convert to fraction form
    140,003.78/210,006.42 = 34,822.75/x
  3. Step 3: Cross multiply
    140,003.78x = 210,006.42 × 34,822.75
  4. Step 4: Simplify right side
    140,003.78x = 7,313,001,062.06
  5. Step 5: Solve for x
    x = 7,313,001,062.06/140,003.78
  6. Step 6: Final answer
    x = 52,234.31

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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.