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Finding the Fourth Proportional to 106,139.82, 146,473.92 and 57,742.82

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Solution

The fourth proportional to 106,139.82, 146,473.92 and 57,742.82 is: 79,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,139.82 : 146,473.92 = 57,742.82 : x
  2. Step 2: Convert to fraction form
    106,139.82/146,473.92 = 57,742.82/x
  3. Step 3: Cross multiply
    106,139.82x = 146,473.92 × 57,742.82
  4. Step 4: Simplify right side
    106,139.82x = 8,457,817,197.25
  5. Step 5: Solve for x
    x = 8,457,817,197.25/106,139.82
  6. Step 6: Final answer
    x = 79,685.62

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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.