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Finding the Fourth Proportional to 89,765.76, 134,648.64 and 27,435.72

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Solution

The fourth proportional to 89,765.76, 134,648.64 and 27,435.72 is: 41,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,765.76 : 134,648.64 = 27,435.72 : x
  2. Step 2: Convert to fraction form
    89,765.76/134,648.64 = 27,435.72/x
  3. Step 3: Cross multiply
    89,765.76x = 134,648.64 × 27,435.72
  4. Step 4: Simplify right side
    89,765.76x = 3,694,182,385.42
  5. Step 5: Solve for x
    x = 3,694,182,385.42/89,765.76
  6. Step 6: Final answer
    x = 41,153.58

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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.