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Finding the Fourth Proportional to 144,297, 199,126 and 80,635.32

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Solution

The fourth proportional to 144,297, 199,126 and 80,635.32 is: 111,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,297 : 199,126 = 80,635.32 : x
  2. Step 2: Convert to fraction form
    144,297/199,126 = 80,635.32/x
  3. Step 3: Cross multiply
    144,297x = 199,126 × 80,635.32
  4. Step 4: Simplify right side
    144,297x = 16,056,588,730.32
  5. Step 5: Solve for x
    x = 16,056,588,730.32/144,297
  6. Step 6: Final answer
    x = 111,274.58

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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.