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Finding the Fourth Proportional to 78,286.64, 108,054.78 and 48,079.16

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Solution

The fourth proportional to 78,286.64, 108,054.78 and 48,079.16 is: 66,361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,286.64 : 108,054.78 = 48,079.16 : x
  2. Step 2: Convert to fraction form
    78,286.64/108,054.78 = 48,079.16/x
  3. Step 3: Cross multiply
    78,286.64x = 108,054.78 × 48,079.16
  4. Step 4: Simplify right side
    78,286.64x = 5,195,183,056.38
  5. Step 5: Solve for x
    x = 5,195,183,056.38/78,286.64
  6. Step 6: Final answer
    x = 66,361.04

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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.