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Finding the Fourth Proportional to 133,109.64, 183,698.75 and 72,685.89

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Solution

The fourth proportional to 133,109.64, 183,698.75 and 72,685.89 is: 100,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,109.64 : 183,698.75 = 72,685.89 : x
  2. Step 2: Convert to fraction form
    133,109.64/183,698.75 = 72,685.89/x
  3. Step 3: Cross multiply
    133,109.64x = 183,698.75 × 72,685.89
  4. Step 4: Simplify right side
    133,109.64x = 13,352,306,772.21
  5. Step 5: Solve for x
    x = 13,352,306,772.21/133,109.64
  6. Step 6: Final answer
    x = 100,310.59

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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.