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Finding the Fourth Proportional to 199,713.13, 299,662.31 and 87,378.53

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Solution

The fourth proportional to 199,713.13, 299,662.31 and 87,378.53 is: 131,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,713.13 : 299,662.31 = 87,378.53 : x
  2. Step 2: Convert to fraction form
    199,713.13/299,662.31 = 87,378.53/x
  3. Step 3: Cross multiply
    199,713.13x = 299,662.31 × 87,378.53
  4. Step 4: Simplify right side
    199,713.13x = 26,184,052,144.20
  5. Step 5: Solve for x
    x = 26,184,052,144.20/199,713.13
  6. Step 6: Final answer
    x = 131,108.32

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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.