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Finding the Fourth Proportional to 148,893.19, 205,473.81 and 80,910.12

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Solution

The fourth proportional to 148,893.19, 205,473.81 and 80,910.12 is: 111,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,893.19 : 205,473.81 = 80,910.12 : x
  2. Step 2: Convert to fraction form
    148,893.19/205,473.81 = 80,910.12/x
  3. Step 3: Cross multiply
    148,893.19x = 205,473.81 × 80,910.12
  4. Step 4: Simplify right side
    148,893.19x = 16,624,911,697.90
  5. Step 5: Solve for x
    x = 16,624,911,697.90/148,893.19
  6. Step 6: Final answer
    x = 111,656.63

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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.