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Finding the Fourth Proportional to 133,115.38, 183,698.30 and 72,686

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Solution

The fourth proportional to 133,115.38, 183,698.30 and 72,686 is: 100,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,115.38 : 183,698.30 = 72,686 : x
  2. Step 2: Convert to fraction form
    133,115.38/183,698.30 = 72,686/x
  3. Step 3: Cross multiply
    133,115.38x = 183,698.30 × 72,686
  4. Step 4: Simplify right side
    133,115.38x = 13,352,294,633.80
  5. Step 5: Solve for x
    x = 13,352,294,633.80/133,115.38
  6. Step 6: Final answer
    x = 100,306.18

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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.