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Finding the Fourth Proportional to 137,940.94, 190,191.51 and 107,322.94

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Solution

The fourth proportional to 137,940.94, 190,191.51 and 107,322.94 is: 147,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,940.94 : 190,191.51 = 107,322.94 : x
  2. Step 2: Convert to fraction form
    137,940.94/190,191.51 = 107,322.94/x
  3. Step 3: Cross multiply
    137,940.94x = 190,191.51 × 107,322.94
  4. Step 4: Simplify right side
    137,940.94x = 20,411,912,016.24
  5. Step 5: Solve for x
    x = 20,411,912,016.24/137,940.94
  6. Step 6: Final answer
    x = 147,975.74

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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.