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Finding the Fourth Proportional to 194,112.99, 290,962.13 and 138,540.51

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Solution

The fourth proportional to 194,112.99, 290,962.13 and 138,540.51 is: 207,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,112.99 : 290,962.13 = 138,540.51 : x
  2. Step 2: Convert to fraction form
    194,112.99/290,962.13 = 138,540.51/x
  3. Step 3: Cross multiply
    194,112.99x = 290,962.13 × 138,540.51
  4. Step 4: Simplify right side
    194,112.99x = 40,310,041,188.18
  5. Step 5: Solve for x
    x = 40,310,041,188.18/194,112.99
  6. Step 6: Final answer
    x = 207,662.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.