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Finding the Fourth Proportional to 106,342.58, 159,513.84 and 31,456.89

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Solution

The fourth proportional to 106,342.58, 159,513.84 and 31,456.89 is: 47,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,342.58 : 159,513.84 = 31,456.89 : x
  2. Step 2: Convert to fraction form
    106,342.58/159,513.84 = 31,456.89/x
  3. Step 3: Cross multiply
    106,342.58x = 159,513.84 × 31,456.89
  4. Step 4: Simplify right side
    106,342.58x = 5,017,809,318.36
  5. Step 5: Solve for x
    x = 5,017,809,318.36/106,342.58
  6. Step 6: Final answer
    x = 47,185.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.