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Finding the Fourth Proportional to 88,190, 132,285.72 and 32,786

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Solution

The fourth proportional to 88,190, 132,285.72 and 32,786 is: 49,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,190 : 132,285.72 = 32,786 : x
  2. Step 2: Convert to fraction form
    88,190/132,285.72 = 32,786/x
  3. Step 3: Cross multiply
    88,190x = 132,285.72 × 32,786
  4. Step 4: Simplify right side
    88,190x = 4,337,119,615.92
  5. Step 5: Solve for x
    x = 4,337,119,615.92/88,190
  6. Step 6: Final answer
    x = 49,179.27

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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.