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Finding the Fourth Proportional to 208,855.77, 288,221.52 and 113,362.47

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Solution

The fourth proportional to 208,855.77, 288,221.52 and 113,362.47 is: 156,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855.77 : 288,221.52 = 113,362.47 : x
  2. Step 2: Convert to fraction form
    208,855.77/288,221.52 = 113,362.47/x
  3. Step 3: Cross multiply
    208,855.77x = 288,221.52 × 113,362.47
  4. Step 4: Simplify right side
    208,855.77x = 32,673,503,414.35
  5. Step 5: Solve for x
    x = 32,673,503,414.35/208,855.77
  6. Step 6: Final answer
    x = 156,440.51

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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.