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Finding the Fourth Proportional to 230,134.59, 345,345.59 and 87,991.81

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Solution

The fourth proportional to 230,134.59, 345,345.59 and 87,991.81 is: 132,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,134.59 : 345,345.59 = 87,991.81 : x
  2. Step 2: Convert to fraction form
    230,134.59/345,345.59 = 87,991.81/x
  3. Step 3: Cross multiply
    230,134.59x = 345,345.59 × 87,991.81
  4. Step 4: Simplify right side
    230,134.59x = 30,387,582,896.23
  5. Step 5: Solve for x
    x = 30,387,582,896.23/230,134.59
  6. Step 6: Final answer
    x = 132,042.66

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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.