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Finding the Fourth Proportional to 203,690.28, 305,534.88 and 114,903.48

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Solution

The fourth proportional to 203,690.28, 305,534.88 and 114,903.48 is: 172,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,690.28 : 305,534.88 = 114,903.48 : x
  2. Step 2: Convert to fraction form
    203,690.28/305,534.88 = 114,903.48/x
  3. Step 3: Cross multiply
    203,690.28x = 305,534.88 × 114,903.48
  4. Step 4: Simplify right side
    203,690.28x = 35,107,020,973.38
  5. Step 5: Solve for x
    x = 35,107,020,973.38/203,690.28
  6. Step 6: Final answer
    x = 172,354.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.