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Finding the Fourth Proportional to 89,650.64, 123,712.44 and 51,917.60

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Solution

The fourth proportional to 89,650.64, 123,712.44 and 51,917.60 is: 71,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,650.64 : 123,712.44 = 51,917.60 : x
  2. Step 2: Convert to fraction form
    89,650.64/123,712.44 = 51,917.60/x
  3. Step 3: Cross multiply
    89,650.64x = 123,712.44 × 51,917.60
  4. Step 4: Simplify right side
    89,650.64x = 6,422,852,974.94
  5. Step 5: Solve for x
    x = 6,422,852,974.94/89,650.64
  6. Step 6: Final answer
    x = 71,643.14

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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.