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Finding the Fourth Proportional to 133,384.95, 200,019.11 and 39,868.83

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Solution

The fourth proportional to 133,384.95, 200,019.11 and 39,868.83 is: 59,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,384.95 : 200,019.11 = 39,868.83 : x
  2. Step 2: Convert to fraction form
    133,384.95/200,019.11 = 39,868.83/x
  3. Step 3: Cross multiply
    133,384.95x = 200,019.11 × 39,868.83
  4. Step 4: Simplify right side
    133,384.95x = 7,974,527,694.00
  5. Step 5: Solve for x
    x = 7,974,527,694.00/133,384.95
  6. Step 6: Final answer
    x = 59,785.81

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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.