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Finding the Fourth Proportional to 230,528.16, 345,843.27 and 90,288

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Solution

The fourth proportional to 230,528.16, 345,843.27 and 90,288 is: 135,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,528.16 : 345,843.27 = 90,288 : x
  2. Step 2: Convert to fraction form
    230,528.16/345,843.27 = 90,288/x
  3. Step 3: Cross multiply
    230,528.16x = 345,843.27 × 90,288
  4. Step 4: Simplify right side
    230,528.16x = 31,225,497,161.76
  5. Step 5: Solve for x
    x = 31,225,497,161.76/230,528.16
  6. Step 6: Final answer
    x = 135,451.99

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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.