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Finding the Fourth Proportional to 106,390.56, 146,814.54 and 57,991.42

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Solution

The fourth proportional to 106,390.56, 146,814.54 and 57,991.42 is: 80,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,390.56 : 146,814.54 = 57,991.42 : x
  2. Step 2: Convert to fraction form
    106,390.56/146,814.54 = 57,991.42/x
  3. Step 3: Cross multiply
    106,390.56x = 146,814.54 × 57,991.42
  4. Step 4: Simplify right side
    106,390.56x = 8,513,982,917.17
  5. Step 5: Solve for x
    x = 8,513,982,917.17/106,390.56
  6. Step 6: Final answer
    x = 80,025.74

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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.