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Finding the Fourth Proportional to 133,000, 183,540 and 73,384

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Solution

The fourth proportional to 133,000, 183,540 and 73,384 is: 101,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,000 : 183,540 = 73,384 : x
  2. Step 2: Convert to fraction form
    133,000/183,540 = 73,384/x
  3. Step 3: Cross multiply
    133,000x = 183,540 × 73,384
  4. Step 4: Simplify right side
    133,000x = 13,468,899,360
  5. Step 5: Solve for x
    x = 13,468,899,360/133,000
  6. Step 6: Final answer
    x = 101,269.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.