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Finding the Fourth Proportional to 230,190.34, 345,169.84 and 134,158.47

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Solution

The fourth proportional to 230,190.34, 345,169.84 and 134,158.47 is: 201,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,190.34 : 345,169.84 = 134,158.47 : x
  2. Step 2: Convert to fraction form
    230,190.34/345,169.84 = 134,158.47/x
  3. Step 3: Cross multiply
    230,190.34x = 345,169.84 × 134,158.47
  4. Step 4: Simplify right side
    230,190.34x = 46,307,457,624.54
  5. Step 5: Solve for x
    x = 46,307,457,624.54/230,190.34
  6. Step 6: Final answer
    x = 201,170.29

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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.