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Finding the Fourth Proportional to 85,286.64, 117,704.16 and 49,484.64

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Solution

The fourth proportional to 85,286.64, 117,704.16 and 49,484.64 is: 68,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,286.64 : 117,704.16 = 49,484.64 : x
  2. Step 2: Convert to fraction form
    85,286.64/117,704.16 = 49,484.64/x
  3. Step 3: Cross multiply
    85,286.64x = 117,704.16 × 49,484.64
  4. Step 4: Simplify right side
    85,286.64x = 5,824,547,984.10
  5. Step 5: Solve for x
    x = 5,824,547,984.10/85,286.64
  6. Step 6: Final answer
    x = 68,293.79

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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.