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Finding the Fourth Proportional to 230,533.29, 345,785.96 and 86,410.70

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Solution

The fourth proportional to 230,533.29, 345,785.96 and 86,410.70 is: 129,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,533.29 : 345,785.96 = 86,410.70 : x
  2. Step 2: Convert to fraction form
    230,533.29/345,785.96 = 86,410.70/x
  3. Step 3: Cross multiply
    230,533.29x = 345,785.96 × 86,410.70
  4. Step 4: Simplify right side
    230,533.29x = 29,879,606,637.57
  5. Step 5: Solve for x
    x = 29,879,606,637.57/230,533.29
  6. Step 6: Final answer
    x = 129,610.81

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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.