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Finding the Fourth Proportional to 199,589.42, 299,477.52 and 87,255.08

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Solution

The fourth proportional to 199,589.42, 299,477.52 and 87,255.08 is: 130,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,589.42 : 299,477.52 = 87,255.08 : x
  2. Step 2: Convert to fraction form
    199,589.42/299,477.52 = 87,255.08/x
  3. Step 3: Cross multiply
    199,589.42x = 299,477.52 × 87,255.08
  4. Step 4: Simplify right side
    199,589.42x = 26,130,933,468.41
  5. Step 5: Solve for x
    x = 26,130,933,468.41/199,589.42
  6. Step 6: Final answer
    x = 130,923.44

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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.