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Finding the Fourth Proportional to 133,985.76, 200,909.52 and 55,085.28

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Solution

The fourth proportional to 133,985.76, 200,909.52 and 55,085.28 is: 82,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,985.76 : 200,909.52 = 55,085.28 : x
  2. Step 2: Convert to fraction form
    133,985.76/200,909.52 = 55,085.28/x
  3. Step 3: Cross multiply
    133,985.76x = 200,909.52 × 55,085.28
  4. Step 4: Simplify right side
    133,985.76x = 11,067,157,163.87
  5. Step 5: Solve for x
    x = 11,067,157,163.87/133,985.76
  6. Step 6: Final answer
    x = 82,599.50

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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.