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Finding the Fourth Proportional to 208,857.54, 288,215.66 and 113,362.20

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Solution

The fourth proportional to 208,857.54, 288,215.66 and 113,362.20 is: 156,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,857.54 : 288,215.66 = 113,362.20 : x
  2. Step 2: Convert to fraction form
    208,857.54/288,215.66 = 113,362.20/x
  3. Step 3: Cross multiply
    208,857.54x = 288,215.66 × 113,362.20
  4. Step 4: Simplify right side
    208,857.54x = 32,672,761,292.05
  5. Step 5: Solve for x
    x = 32,672,761,292.05/208,857.54
  6. Step 6: Final answer
    x = 156,435.63

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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.