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Finding the Fourth Proportional to 105,648.99, 158,480.78 and 39,087.65

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Solution

The fourth proportional to 105,648.99, 158,480.78 and 39,087.65 is: 58,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,648.99 : 158,480.78 = 39,087.65 : x
  2. Step 2: Convert to fraction form
    105,648.99/158,480.78 = 39,087.65/x
  3. Step 3: Cross multiply
    105,648.99x = 158,480.78 × 39,087.65
  4. Step 4: Simplify right side
    105,648.99x = 6,194,640,272.52
  5. Step 5: Solve for x
    x = 6,194,640,272.52/105,648.99
  6. Step 6: Final answer
    x = 58,634.16

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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.