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Finding the Fourth Proportional to 65,192.96, 89,963.16 and 40,037.60

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Solution

The fourth proportional to 65,192.96, 89,963.16 and 40,037.60 is: 55,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,192.96 : 89,963.16 = 40,037.60 : x
  2. Step 2: Convert to fraction form
    65,192.96/89,963.16 = 40,037.60/x
  3. Step 3: Cross multiply
    65,192.96x = 89,963.16 × 40,037.60
  4. Step 4: Simplify right side
    65,192.96x = 3,601,908,565.00
  5. Step 5: Solve for x
    x = 3,601,908,565.00/65,192.96
  6. Step 6: Final answer
    x = 55,249.97

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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.