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Finding the Fourth Proportional to 97,691.64, 146,584.59 and 85,065.36

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Solution

The fourth proportional to 97,691.64, 146,584.59 and 85,065.36 is: 127,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,691.64 : 146,584.59 = 85,065.36 : x
  2. Step 2: Convert to fraction form
    97,691.64/146,584.59 = 85,065.36/x
  3. Step 3: Cross multiply
    97,691.64x = 146,584.59 × 85,065.36
  4. Step 4: Simplify right side
    97,691.64x = 12,469,270,050.12
  5. Step 5: Solve for x
    x = 12,469,270,050.12/97,691.64
  6. Step 6: Final answer
    x = 127,639.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.