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Finding the Fourth Proportional to 89,762.76, 134,408.16 and 81,889.56

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Solution

The fourth proportional to 89,762.76, 134,408.16 and 81,889.56 is: 122,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,762.76 : 134,408.16 = 81,889.56 : x
  2. Step 2: Convert to fraction form
    89,762.76/134,408.16 = 81,889.56/x
  3. Step 3: Cross multiply
    89,762.76x = 134,408.16 × 81,889.56
  4. Step 4: Simplify right side
    89,762.76x = 11,006,625,082.81
  5. Step 5: Solve for x
    x = 11,006,625,082.81/89,762.76
  6. Step 6: Final answer
    x = 122,619.06

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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.