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Finding the Fourth Proportional to 228,853.15, 343,232.75 and 86,649.48

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Solution

The fourth proportional to 228,853.15, 343,232.75 and 86,649.48 is: 129,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,853.15 : 343,232.75 = 86,649.48 : x
  2. Step 2: Convert to fraction form
    228,853.15/343,232.75 = 86,649.48/x
  3. Step 3: Cross multiply
    228,853.15x = 343,232.75 × 86,649.48
  4. Step 4: Simplify right side
    228,853.15x = 29,740,939,523.09
  5. Step 5: Solve for x
    x = 29,740,939,523.09/228,853.15
  6. Step 6: Final answer
    x = 129,956.44

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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.