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Finding the Fourth Proportional to 149,146.70, 205,822.48 and 82,078.70

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Solution

The fourth proportional to 149,146.70, 205,822.48 and 82,078.70 is: 113,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,146.70 : 205,822.48 = 82,078.70 : x
  2. Step 2: Convert to fraction form
    149,146.70/205,822.48 = 82,078.70/x
  3. Step 3: Cross multiply
    149,146.70x = 205,822.48 × 82,078.70
  4. Step 4: Simplify right side
    149,146.70x = 16,893,641,666.52
  5. Step 5: Solve for x
    x = 16,893,641,666.52/149,146.70
  6. Step 6: Final answer
    x = 113,268.62

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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.