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Finding the Fourth Proportional to 133,774.31, 200,682.19 and 45,020.88

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Solution

The fourth proportional to 133,774.31, 200,682.19 and 45,020.88 is: 67,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,774.31 : 200,682.19 = 45,020.88 : x
  2. Step 2: Convert to fraction form
    133,774.31/200,682.19 = 45,020.88/x
  3. Step 3: Cross multiply
    133,774.31x = 200,682.19 × 45,020.88
  4. Step 4: Simplify right side
    133,774.31x = 9,034,888,569.02
  5. Step 5: Solve for x
    x = 9,034,888,569.02/133,774.31
  6. Step 6: Final answer
    x = 67,538.30

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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.