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Finding the Fourth Proportional to 151,687.53, 209,329.41 and 83,706.49

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Solution

The fourth proportional to 151,687.53, 209,329.41 and 83,706.49 is: 115,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,687.53 : 209,329.41 = 83,706.49 : x
  2. Step 2: Convert to fraction form
    151,687.53/209,329.41 = 83,706.49/x
  3. Step 3: Cross multiply
    151,687.53x = 209,329.41 × 83,706.49
  4. Step 4: Simplify right side
    151,687.53x = 17,522,230,164.87
  5. Step 5: Solve for x
    x = 17,522,230,164.87/151,687.53
  6. Step 6: Final answer
    x = 115,515.30

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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.