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Finding the Fourth Proportional to 203,275.42, 280,512.52 and 117,238.01

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Solution

The fourth proportional to 203,275.42, 280,512.52 and 117,238.01 is: 161,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,275.42 : 280,512.52 = 117,238.01 : x
  2. Step 2: Convert to fraction form
    203,275.42/280,512.52 = 117,238.01/x
  3. Step 3: Cross multiply
    203,275.42x = 280,512.52 × 117,238.01
  4. Step 4: Simplify right side
    203,275.42x = 32,886,728,718.17
  5. Step 5: Solve for x
    x = 32,886,728,718.17/203,275.42
  6. Step 6: Final answer
    x = 161,784.09

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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.