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Finding the Fourth Proportional to 288,120, 432,181.92 and 91,128

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Solution

The fourth proportional to 288,120, 432,181.92 and 91,128 is: 136,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,120 : 432,181.92 = 91,128 : x
  2. Step 2: Convert to fraction form
    288,120/432,181.92 = 91,128/x
  3. Step 3: Cross multiply
    288,120x = 432,181.92 × 91,128
  4. Step 4: Simplify right side
    288,120x = 39,383,874,005.76
  5. Step 5: Solve for x
    x = 39,383,874,005.76/288,120
  6. Step 6: Final answer
    x = 136,692.61

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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.