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Finding the Fourth Proportional to 133,813.62, 200,753.64 and 53,856.90

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Solution

The fourth proportional to 133,813.62, 200,753.64 and 53,856.90 is: 80,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,813.62 : 200,753.64 = 53,856.90 : x
  2. Step 2: Convert to fraction form
    133,813.62/200,753.64 = 53,856.90/x
  3. Step 3: Cross multiply
    133,813.62x = 200,753.64 × 53,856.90
  4. Step 4: Simplify right side
    133,813.62x = 10,811,968,714.12
  5. Step 5: Solve for x
    x = 10,811,968,714.12/133,813.62
  6. Step 6: Final answer
    x = 80,798.72

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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.