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Finding the Fourth Proportional to 89,127.72, 122,969.88 and 50,886

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Solution

The fourth proportional to 89,127.72, 122,969.88 and 50,886 is: 70,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,127.72 : 122,969.88 = 50,886 : x
  2. Step 2: Convert to fraction form
    89,127.72/122,969.88 = 50,886/x
  3. Step 3: Cross multiply
    89,127.72x = 122,969.88 × 50,886
  4. Step 4: Simplify right side
    89,127.72x = 6,257,445,313.68
  5. Step 5: Solve for x
    x = 6,257,445,313.68/89,127.72
  6. Step 6: Final answer
    x = 70,207.62

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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.