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Finding the Fourth Proportional to 133,871.64, 200,826.26 and 39,108.78

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Solution

The fourth proportional to 133,871.64, 200,826.26 and 39,108.78 is: 58,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,871.64 : 200,826.26 = 39,108.78 : x
  2. Step 2: Convert to fraction form
    133,871.64/200,826.26 = 39,108.78/x
  3. Step 3: Cross multiply
    133,871.64x = 200,826.26 × 39,108.78
  4. Step 4: Simplify right side
    133,871.64x = 7,854,069,825.02
  5. Step 5: Solve for x
    x = 7,854,069,825.02/133,871.64
  6. Step 6: Final answer
    x = 58,668.66

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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.