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Finding the Fourth Proportional to 106,390.60, 146,814.61 and 57,991.46

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Solution

The fourth proportional to 106,390.60, 146,814.61 and 57,991.46 is: 80,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,390.60 : 146,814.61 = 57,991.46 : x
  2. Step 2: Convert to fraction form
    106,390.60/146,814.61 = 57,991.46/x
  3. Step 3: Cross multiply
    106,390.60x = 146,814.61 × 57,991.46
  4. Step 4: Simplify right side
    106,390.60x = 8,513,992,559.20
  5. Step 5: Solve for x
    x = 8,513,992,559.20/106,390.60
  6. Step 6: Final answer
    x = 80,025.80

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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.