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Finding the Fourth Proportional to 208,855.80, 288,221.36 and 113,362.52

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Solution

The fourth proportional to 208,855.80, 288,221.36 and 113,362.52 is: 156,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855.80 : 288,221.36 = 113,362.52 : x
  2. Step 2: Convert to fraction form
    208,855.80/288,221.36 = 113,362.52/x
  3. Step 3: Cross multiply
    208,855.80x = 288,221.36 × 113,362.52
  4. Step 4: Simplify right side
    208,855.80x = 32,673,499,687.43
  5. Step 5: Solve for x
    x = 32,673,499,687.43/208,855.80
  6. Step 6: Final answer
    x = 156,440.47

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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.