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Finding the Fourth Proportional to 145,262.92, 217,712.94 and 82,078.60

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Solution

The fourth proportional to 145,262.92, 217,712.94 and 82,078.60 is: 123,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,262.92 : 217,712.94 = 82,078.60 : x
  2. Step 2: Convert to fraction form
    145,262.92/217,712.94 = 82,078.60/x
  3. Step 3: Cross multiply
    145,262.92x = 217,712.94 × 82,078.60
  4. Step 4: Simplify right side
    145,262.92x = 17,869,573,317.08
  5. Step 5: Solve for x
    x = 17,869,573,317.08/145,262.92
  6. Step 6: Final answer
    x = 123,015.38

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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.