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Finding the Fourth Proportional to 89,114, 122,977.32 and 53,305.52

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Solution

The fourth proportional to 89,114, 122,977.32 and 53,305.52 is: 73,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,114 : 122,977.32 = 53,305.52 : x
  2. Step 2: Convert to fraction form
    89,114/122,977.32 = 53,305.52/x
  3. Step 3: Cross multiply
    89,114x = 122,977.32 × 53,305.52
  4. Step 4: Simplify right side
    89,114x = 6,555,369,990.81
  5. Step 5: Solve for x
    x = 6,555,369,990.81/89,114
  6. Step 6: Final answer
    x = 73,561.62

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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.