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Finding the Fourth Proportional to 85,149.04, 116,654.74 and 81,956.64

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Solution

The fourth proportional to 85,149.04, 116,654.74 and 81,956.64 is: 112,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,149.04 : 116,654.74 = 81,956.64 : x
  2. Step 2: Convert to fraction form
    85,149.04/116,654.74 = 81,956.64/x
  3. Step 3: Cross multiply
    85,149.04x = 116,654.74 × 81,956.64
  4. Step 4: Simplify right side
    85,149.04x = 9,560,630,530.47
  5. Step 5: Solve for x
    x = 9,560,630,530.47/85,149.04
  6. Step 6: Final answer
    x = 112,281.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.