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Finding the Fourth Proportional to 133,913.30, 200,729.78 and 45,136.12

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Solution

The fourth proportional to 133,913.30, 200,729.78 and 45,136.12 is: 67,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,913.30 : 200,729.78 = 45,136.12 : x
  2. Step 2: Convert to fraction form
    133,913.30/200,729.78 = 45,136.12/x
  3. Step 3: Cross multiply
    133,913.30x = 200,729.78 × 45,136.12
  4. Step 4: Simplify right side
    133,913.30x = 9,060,163,437.65
  5. Step 5: Solve for x
    x = 9,060,163,437.65/133,913.30
  6. Step 6: Final answer
    x = 67,656.94

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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.