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Finding the Fourth Proportional to 199,712, 275,604.77 and 109,070.64

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Solution

The fourth proportional to 199,712, 275,604.77 and 109,070.64 is: 150,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,712 : 275,604.77 = 109,070.64 : x
  2. Step 2: Convert to fraction form
    199,712/275,604.77 = 109,070.64/x
  3. Step 3: Cross multiply
    199,712x = 275,604.77 × 109,070.64
  4. Step 4: Simplify right side
    199,712x = 30,060,388,650.95
  5. Step 5: Solve for x
    x = 30,060,388,650.95/199,712
  6. Step 6: Final answer
    x = 150,518.69

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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.