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Finding the Fourth Proportional to 137,969.73, 190,406.97 and 76,722.80

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Solution

The fourth proportional to 137,969.73, 190,406.97 and 76,722.80 is: 105,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,969.73 : 190,406.97 = 76,722.80 : x
  2. Step 2: Convert to fraction form
    137,969.73/190,406.97 = 76,722.80/x
  3. Step 3: Cross multiply
    137,969.73x = 190,406.97 × 76,722.80
  4. Step 4: Simplify right side
    137,969.73x = 14,608,554,925.88
  5. Step 5: Solve for x
    x = 14,608,554,925.88/137,969.73
  6. Step 6: Final answer
    x = 105,882.32

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1.5x scale

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.