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Finding the Fourth Proportional to 89,676.40, 134,509.72 and 27,342

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Solution

The fourth proportional to 89,676.40, 134,509.72 and 27,342 is: 41,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,676.40 : 134,509.72 = 27,342 : x
  2. Step 2: Convert to fraction form
    89,676.40/134,509.72 = 27,342/x
  3. Step 3: Cross multiply
    89,676.40x = 134,509.72 × 27,342
  4. Step 4: Simplify right side
    89,676.40x = 3,677,764,764.24
  5. Step 5: Solve for x
    x = 3,677,764,764.24/89,676.40
  6. Step 6: Final answer
    x = 41,011.51

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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.