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Finding the Fourth Proportional to 65,878.32, 98,819.24 and 21,507.76

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Solution

The fourth proportional to 65,878.32, 98,819.24 and 21,507.76 is: 32,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878.32 : 98,819.24 = 21,507.76 : x
  2. Step 2: Convert to fraction form
    65,878.32/98,819.24 = 21,507.76/x
  3. Step 3: Cross multiply
    65,878.32x = 98,819.24 × 21,507.76
  4. Step 4: Simplify right side
    65,878.32x = 2,125,380,497.30
  5. Step 5: Solve for x
    x = 2,125,380,497.30/65,878.32
  6. Step 6: Final answer
    x = 32,262.21

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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.