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Finding the Fourth Proportional to 89,122.50, 122,989.05 and 49,378.50

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Solution

The fourth proportional to 89,122.50, 122,989.05 and 49,378.50 is: 68,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,122.50 : 122,989.05 = 49,378.50 : x
  2. Step 2: Convert to fraction form
    89,122.50/122,989.05 = 49,378.50/x
  3. Step 3: Cross multiply
    89,122.50x = 122,989.05 × 49,378.50
  4. Step 4: Simplify right side
    89,122.50x = 6,073,014,805.43
  5. Step 5: Solve for x
    x = 6,073,014,805.43/89,122.50
  6. Step 6: Final answer
    x = 68,142.33

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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.