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Finding the Fourth Proportional to 137,700, 190,344.33 and 114,906.60

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Solution

The fourth proportional to 137,700, 190,344.33 and 114,906.60 is: 158,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,700 : 190,344.33 = 114,906.60 : x
  2. Step 2: Convert to fraction form
    137,700/190,344.33 = 114,906.60/x
  3. Step 3: Cross multiply
    137,700x = 190,344.33 × 114,906.60
  4. Step 4: Simplify right side
    137,700x = 21,871,819,789.58
  5. Step 5: Solve for x
    x = 21,871,819,789.58/137,700
  6. Step 6: Final answer
    x = 158,836.75

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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.