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Finding the Fourth Proportional to 199,298.13, 275,042.35 and 114,420.66

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Solution

The fourth proportional to 199,298.13, 275,042.35 and 114,420.66 is: 157,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,298.13 : 275,042.35 = 114,420.66 : x
  2. Step 2: Convert to fraction form
    199,298.13/275,042.35 = 114,420.66/x
  3. Step 3: Cross multiply
    199,298.13x = 275,042.35 × 114,420.66
  4. Step 4: Simplify right side
    199,298.13x = 31,470,525,839.74
  5. Step 5: Solve for x
    x = 31,470,525,839.74/199,298.13
  6. Step 6: Final answer
    x = 157,906.78

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