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Finding the Fourth Proportional to 133,072.40, 199,754.40 and 83,208.80

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Solution

The fourth proportional to 133,072.40, 199,754.40 and 83,208.80 is: 124,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,072.40 : 199,754.40 = 83,208.80 : x
  2. Step 2: Convert to fraction form
    133,072.40/199,754.40 = 83,208.80/x
  3. Step 3: Cross multiply
    133,072.40x = 199,754.40 × 83,208.80
  4. Step 4: Simplify right side
    133,072.40x = 16,621,323,918.72
  5. Step 5: Solve for x
    x = 16,621,323,918.72/133,072.40
  6. Step 6: Final answer
    x = 124,904.37

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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.