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Finding the Fourth Proportional to 230,509.56, 345,919.86 and 90,250.68

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Solution

The fourth proportional to 230,509.56, 345,919.86 and 90,250.68 is: 135,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,509.56 : 345,919.86 = 90,250.68 : x
  2. Step 2: Convert to fraction form
    230,509.56/345,919.86 = 90,250.68/x
  3. Step 3: Cross multiply
    230,509.56x = 345,919.86 × 90,250.68
  4. Step 4: Simplify right side
    230,509.56x = 31,219,502,590.50
  5. Step 5: Solve for x
    x = 31,219,502,590.50/230,509.56
  6. Step 6: Final answer
    x = 135,436.91

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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.