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Finding the Fourth Proportional to 105,866.54, 158,698.73 and 39,288.86

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Solution

The fourth proportional to 105,866.54, 158,698.73 and 39,288.86 is: 58,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,866.54 : 158,698.73 = 39,288.86 : x
  2. Step 2: Convert to fraction form
    105,866.54/158,698.73 = 39,288.86/x
  3. Step 3: Cross multiply
    105,866.54x = 158,698.73 × 39,288.86
  4. Step 4: Simplify right side
    105,866.54x = 6,235,092,185.15
  5. Step 5: Solve for x
    x = 6,235,092,185.15/105,866.54
  6. Step 6: Final answer
    x = 58,895.78

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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.