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Finding the Fourth Proportional to 104,657.75, 144,509.04 and 80,420.50

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Solution

The fourth proportional to 104,657.75, 144,509.04 and 80,420.50 is: 111,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,657.75 : 144,509.04 = 80,420.50 : x
  2. Step 2: Convert to fraction form
    104,657.75/144,509.04 = 80,420.50/x
  3. Step 3: Cross multiply
    104,657.75x = 144,509.04 × 80,420.50
  4. Step 4: Simplify right side
    104,657.75x = 11,621,488,443.61
  5. Step 5: Solve for x
    x = 11,621,488,443.61/104,657.75
  6. Step 6: Final answer
    x = 111,042.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.