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Finding the Fourth Proportional to 194,699.54, 268,807 and 149,290.29

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Solution

The fourth proportional to 194,699.54, 268,807 and 149,290.29 is: 206,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,699.54 : 268,807 = 149,290.29 : x
  2. Step 2: Convert to fraction form
    194,699.54/268,807 = 149,290.29/x
  3. Step 3: Cross multiply
    194,699.54x = 268,807 × 149,290.29
  4. Step 4: Simplify right side
    194,699.54x = 40,130,274,984.03
  5. Step 5: Solve for x
    x = 40,130,274,984.03/194,699.54
  6. Step 6: Final answer
    x = 206,113.87

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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.