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Finding the Fourth Proportional to 97,856.60, 146,784.90 and 82,304.60

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Solution

The fourth proportional to 97,856.60, 146,784.90 and 82,304.60 is: 123,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,856.60 : 146,784.90 = 82,304.60 : x
  2. Step 2: Convert to fraction form
    97,856.60/146,784.90 = 82,304.60/x
  3. Step 3: Cross multiply
    97,856.60x = 146,784.90 × 82,304.60
  4. Step 4: Simplify right side
    97,856.60x = 12,081,072,480.54
  5. Step 5: Solve for x
    x = 12,081,072,480.54/97,856.60
  6. Step 6: Final answer
    x = 123,456.90

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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.