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Finding the Fourth Proportional to 103,419.90, 155,129.85 and 77,175.90

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Solution

The fourth proportional to 103,419.90, 155,129.85 and 77,175.90 is: 115,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,419.90 : 155,129.85 = 77,175.90 : x
  2. Step 2: Convert to fraction form
    103,419.90/155,129.85 = 77,175.90/x
  3. Step 3: Cross multiply
    103,419.90x = 155,129.85 × 77,175.90
  4. Step 4: Simplify right side
    103,419.90x = 11,972,285,790.62
  5. Step 5: Solve for x
    x = 11,972,285,790.62/103,419.90
  6. Step 6: Final answer
    x = 115,763.85

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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.