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Finding the Fourth Proportional to 104,077.90, 155,991.13 and 50,689.86

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Solution

The fourth proportional to 104,077.90, 155,991.13 and 50,689.86 is: 75,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,077.90 : 155,991.13 = 50,689.86 : x
  2. Step 2: Convert to fraction form
    104,077.90/155,991.13 = 50,689.86/x
  3. Step 3: Cross multiply
    104,077.90x = 155,991.13 × 50,689.86
  4. Step 4: Simplify right side
    104,077.90x = 7,907,168,997.35
  5. Step 5: Solve for x
    x = 7,907,168,997.35/104,077.90
  6. Step 6: Final answer
    x = 75,973.56

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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.