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Finding the Fourth Proportional to 133,855.99, 200,719.40 and 77,710.24

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Solution

The fourth proportional to 133,855.99, 200,719.40 and 77,710.24 is: 116,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,855.99 : 200,719.40 = 77,710.24 : x
  2. Step 2: Convert to fraction form
    133,855.99/200,719.40 = 77,710.24/x
  3. Step 3: Cross multiply
    133,855.99x = 200,719.40 × 77,710.24
  4. Step 4: Simplify right side
    133,855.99x = 15,597,951,917.08
  5. Step 5: Solve for x
    x = 15,597,951,917.08/133,855.99
  6. Step 6: Final answer
    x = 116,527.86

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1.5x scale

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.