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Finding the Fourth Proportional to 203,253.27, 280,528.74 and 117,267.78

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Solution

The fourth proportional to 203,253.27, 280,528.74 and 117,267.78 is: 161,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,253.27 : 280,528.74 = 117,267.78 : x
  2. Step 2: Convert to fraction form
    203,253.27/280,528.74 = 117,267.78/x
  3. Step 3: Cross multiply
    203,253.27x = 280,528.74 × 117,267.78
  4. Step 4: Simplify right side
    203,253.27x = 32,896,982,566.00
  5. Step 5: Solve for x
    x = 32,896,982,566.00/203,253.27
  6. Step 6: Final answer
    x = 161,852.17

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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.