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Finding the Fourth Proportional to 208,804.94, 288,151.58 and 113,311.61

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Solution

The fourth proportional to 208,804.94, 288,151.58 and 113,311.61 is: 156,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,804.94 : 288,151.58 = 113,311.61 : x
  2. Step 2: Convert to fraction form
    208,804.94/288,151.58 = 113,311.61/x
  3. Step 3: Cross multiply
    208,804.94x = 288,151.58 × 113,311.61
  4. Step 4: Simplify right side
    208,804.94x = 32,650,918,296.36
  5. Step 5: Solve for x
    x = 32,650,918,296.36/208,804.94
  6. Step 6: Final answer
    x = 156,370.43

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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.