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Finding the Fourth Proportional to 133,986.99, 200,717.75 and 77,708.91

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Solution

The fourth proportional to 133,986.99, 200,717.75 and 77,708.91 is: 116,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986.99 : 200,717.75 = 77,708.91 : x
  2. Step 2: Convert to fraction form
    133,986.99/200,717.75 = 77,708.91/x
  3. Step 3: Cross multiply
    133,986.99x = 200,717.75 × 77,708.91
  4. Step 4: Simplify right side
    133,986.99x = 15,597,557,181.61
  5. Step 5: Solve for x
    x = 15,597,557,181.61/133,986.99
  6. Step 6: Final answer
    x = 116,410.98

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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.