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Finding the Fourth Proportional to 212,998.86, 293,939.44 and 117,505.54

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Solution

The fourth proportional to 212,998.86, 293,939.44 and 117,505.54 is: 162,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,998.86 : 293,939.44 = 117,505.54 : x
  2. Step 2: Convert to fraction form
    212,998.86/293,939.44 = 117,505.54/x
  3. Step 3: Cross multiply
    212,998.86x = 293,939.44 × 117,505.54
  4. Step 4: Simplify right side
    212,998.86x = 34,539,512,624.50
  5. Step 5: Solve for x
    x = 34,539,512,624.50/212,998.86
  6. Step 6: Final answer
    x = 162,158.20

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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.