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Finding the Fourth Proportional to 208,832.75, 288,187.49 and 113,339.46

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Solution

The fourth proportional to 208,832.75, 288,187.49 and 113,339.46 is: 156,407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,832.75 : 288,187.49 = 113,339.46 : x
  2. Step 2: Convert to fraction form
    208,832.75/288,187.49 = 113,339.46/x
  3. Step 3: Cross multiply
    208,832.75x = 288,187.49 × 113,339.46
  4. Step 4: Simplify right side
    208,832.75x = 32,663,013,928.66
  5. Step 5: Solve for x
    x = 32,663,013,928.66/208,832.75
  6. Step 6: Final answer
    x = 156,407.53

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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.