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Finding the Fourth Proportional to 89,833.92, 123,908.63 and 72,838.87

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Solution

The fourth proportional to 89,833.92, 123,908.63 and 72,838.87 is: 100,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,833.92 : 123,908.63 = 72,838.87 : x
  2. Step 2: Convert to fraction form
    89,833.92/123,908.63 = 72,838.87/x
  3. Step 3: Cross multiply
    89,833.92x = 123,908.63 × 72,838.87
  4. Step 4: Simplify right side
    89,833.92x = 9,025,364,592.45
  5. Step 5: Solve for x
    x = 9,025,364,592.45/89,833.92
  6. Step 6: Final answer
    x = 100,467.22

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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.