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Finding the Fourth Proportional to 203,086.51, 280,262.35 and 116,998

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Solution

The fourth proportional to 203,086.51, 280,262.35 and 116,998 is: 161,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,086.51 : 280,262.35 = 116,998 : x
  2. Step 2: Convert to fraction form
    203,086.51/280,262.35 = 116,998/x
  3. Step 3: Cross multiply
    203,086.51x = 280,262.35 × 116,998
  4. Step 4: Simplify right side
    203,086.51x = 32,790,134,132.81
  5. Step 5: Solve for x
    x = 32,790,134,132.81/203,086.51
  6. Step 6: Final answer
    x = 161,458.95

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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.