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Finding the Fourth Proportional to 203,141.28, 280,242.54 and 118,209

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Solution

The fourth proportional to 203,141.28, 280,242.54 and 118,209 is: 163,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,141.28 : 280,242.54 = 118,209 : x
  2. Step 2: Convert to fraction form
    203,141.28/280,242.54 = 118,209/x
  3. Step 3: Cross multiply
    203,141.28x = 280,242.54 × 118,209
  4. Step 4: Simplify right side
    203,141.28x = 33,127,190,410.86
  5. Step 5: Solve for x
    x = 33,127,190,410.86/203,141.28
  6. Step 6: Final answer
    x = 163,074.64

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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.