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Finding the Fourth Proportional to 89,876.94, 124,008.06 and 54,942.78

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Solution

The fourth proportional to 89,876.94, 124,008.06 and 54,942.78 is: 75,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,876.94 : 124,008.06 = 54,942.78 : x
  2. Step 2: Convert to fraction form
    89,876.94/124,008.06 = 54,942.78/x
  3. Step 3: Cross multiply
    89,876.94x = 124,008.06 × 54,942.78
  4. Step 4: Simplify right side
    89,876.94x = 6,813,347,558.81
  5. Step 5: Solve for x
    x = 6,813,347,558.81/89,876.94
  6. Step 6: Final answer
    x = 75,807.52

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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.