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Finding the Fourth Proportional to 230,021.89, 345,013.01 and 140,041.30

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Solution

The fourth proportional to 230,021.89, 345,013.01 and 140,041.30 is: 210,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,021.89 : 345,013.01 = 140,041.30 : x
  2. Step 2: Convert to fraction form
    230,021.89/345,013.01 = 140,041.30/x
  3. Step 3: Cross multiply
    230,021.89x = 345,013.01 × 140,041.30
  4. Step 4: Simplify right side
    230,021.89x = 48,316,068,874.57
  5. Step 5: Solve for x
    x = 48,316,068,874.57/230,021.89
  6. Step 6: Final answer
    x = 210,049.88

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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.