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Finding the Fourth Proportional to 105,379.88, 158,069.64 and 49,201.16

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Solution

The fourth proportional to 105,379.88, 158,069.64 and 49,201.16 is: 73,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,379.88 : 158,069.64 = 49,201.16 : x
  2. Step 2: Convert to fraction form
    105,379.88/158,069.64 = 49,201.16/x
  3. Step 3: Cross multiply
    105,379.88x = 158,069.64 × 49,201.16
  4. Step 4: Simplify right side
    105,379.88x = 7,777,209,648.78
  5. Step 5: Solve for x
    x = 7,777,209,648.78/105,379.88
  6. Step 6: Final answer
    x = 73,801.66

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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.