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Finding the Fourth Proportional to 105,043.38, 144,961.83 and 57,298.43

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Solution

The fourth proportional to 105,043.38, 144,961.83 and 57,298.43 is: 79,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,043.38 : 144,961.83 = 57,298.43 : x
  2. Step 2: Convert to fraction form
    105,043.38/144,961.83 = 57,298.43/x
  3. Step 3: Cross multiply
    105,043.38x = 144,961.83 × 57,298.43
  4. Step 4: Simplify right side
    105,043.38x = 8,306,085,268.93
  5. Step 5: Solve for x
    x = 8,306,085,268.93/105,043.38
  6. Step 6: Final answer
    x = 79,072.91

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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.