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Finding the Fourth Proportional to 89,884, 124,039.92 and 50,140

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Solution

The fourth proportional to 89,884, 124,039.92 and 50,140 is: 69,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,884 : 124,039.92 = 50,140 : x
  2. Step 2: Convert to fraction form
    89,884/124,039.92 = 50,140/x
  3. Step 3: Cross multiply
    89,884x = 124,039.92 × 50,140
  4. Step 4: Simplify right side
    89,884x = 6,219,361,588.80
  5. Step 5: Solve for x
    x = 6,219,361,588.80/89,884
  6. Step 6: Final answer
    x = 69,193.20

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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.