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Finding the Fourth Proportional to 89,832.92, 123,907.25 and 72,837.87

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Solution

The fourth proportional to 89,832.92, 123,907.25 and 72,837.87 is: 100,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,832.92 : 123,907.25 = 72,837.87 : x
  2. Step 2: Convert to fraction form
    89,832.92/123,907.25 = 72,837.87/x
  3. Step 3: Cross multiply
    89,832.92x = 123,907.25 × 72,837.87
  4. Step 4: Simplify right side
    89,832.92x = 9,025,139,885.00
  5. Step 5: Solve for x
    x = 9,025,139,885.00/89,832.92
  6. Step 6: Final answer
    x = 100,465.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.