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Finding the Fourth Proportional to 133,690.83, 200,536.52 and 54,790.89

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Solution

The fourth proportional to 133,690.83, 200,536.52 and 54,790.89 is: 82,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690.83 : 200,536.52 = 54,790.89 : x
  2. Step 2: Convert to fraction form
    133,690.83/200,536.52 = 54,790.89/x
  3. Step 3: Cross multiply
    133,690.83x = 200,536.52 × 54,790.89
  4. Step 4: Simplify right side
    133,690.83x = 10,987,574,134.35
  5. Step 5: Solve for x
    x = 10,987,574,134.35/133,690.83
  6. Step 6: Final answer
    x = 82,186.45

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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.