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Finding the Fourth Proportional to 106,409.81, 146,845.55 and 61,090.73

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Solution

The fourth proportional to 106,409.81, 146,845.55 and 61,090.73 is: 84,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,409.81 : 146,845.55 = 61,090.73 : x
  2. Step 2: Convert to fraction form
    106,409.81/146,845.55 = 61,090.73/x
  3. Step 3: Cross multiply
    106,409.81x = 146,845.55 × 61,090.73
  4. Step 4: Simplify right side
    106,409.81x = 8,970,901,846.75
  5. Step 5: Solve for x
    x = 8,970,901,846.75/106,409.81
  6. Step 6: Final answer
    x = 84,305.21

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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.