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Finding the Fourth Proportional to 65,136.54, 89,886.87 and 36,456.60

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Solution

The fourth proportional to 65,136.54, 89,886.87 and 36,456.60 is: 50,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,136.54 : 89,886.87 = 36,456.60 : x
  2. Step 2: Convert to fraction form
    65,136.54/89,886.87 = 36,456.60/x
  3. Step 3: Cross multiply
    65,136.54x = 89,886.87 × 36,456.60
  4. Step 4: Simplify right side
    65,136.54x = 3,276,969,664.84
  5. Step 5: Solve for x
    x = 3,276,969,664.84/65,136.54
  6. Step 6: Final answer
    x = 50,309.24

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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.