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Finding the Fourth Proportional to 208,814.50, 288,164.21 and 113,321.22

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Solution

The fourth proportional to 208,814.50, 288,164.21 and 113,321.22 is: 156,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,814.50 : 288,164.21 = 113,321.22 : x
  2. Step 2: Convert to fraction form
    208,814.50/288,164.21 = 113,321.22/x
  3. Step 3: Cross multiply
    208,814.50x = 288,164.21 × 113,321.22
  4. Step 4: Simplify right side
    208,814.50x = 32,655,119,837.54
  5. Step 5: Solve for x
    x = 32,655,119,837.54/208,814.50
  6. Step 6: Final answer
    x = 156,383.39

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1.5x scale

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.