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Finding the Fourth Proportional to 133,064.75, 183,633.80 and 72,638.97

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Solution

The fourth proportional to 133,064.75, 183,633.80 and 72,638.97 is: 100,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,064.75 : 183,633.80 = 72,638.97 : x
  2. Step 2: Convert to fraction form
    133,064.75/183,633.80 = 72,638.97/x
  3. Step 3: Cross multiply
    133,064.75x = 183,633.80 × 72,638.97
  4. Step 4: Simplify right side
    133,064.75x = 13,338,970,089.19
  5. Step 5: Solve for x
    x = 13,338,970,089.19/133,064.75
  6. Step 6: Final answer
    x = 100,244.21

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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.