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Finding the Fourth Proportional to 287,138.77, 430,769.69 and 87,475.24

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Solution

The fourth proportional to 287,138.77, 430,769.69 and 87,475.24 is: 131,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,138.77 : 430,769.69 = 87,475.24 : x
  2. Step 2: Convert to fraction form
    287,138.77/430,769.69 = 87,475.24/x
  3. Step 3: Cross multiply
    287,138.77x = 430,769.69 × 87,475.24
  4. Step 4: Simplify right side
    287,138.77x = 37,681,682,938.64
  5. Step 5: Solve for x
    x = 37,681,682,938.64/287,138.77
  6. Step 6: Final answer
    x = 131,231.61

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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.