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Finding the Fourth Proportional to 208,942.28, 288,342.42 and 113,449.76

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Solution

The fourth proportional to 208,942.28, 288,342.42 and 113,449.76 is: 156,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,942.28 : 288,342.42 = 113,449.76 : x
  2. Step 2: Convert to fraction form
    208,942.28/288,342.42 = 113,449.76/x
  3. Step 3: Cross multiply
    208,942.28x = 288,342.42 × 113,449.76
  4. Step 4: Simplify right side
    208,942.28x = 32,712,378,346.82
  5. Step 5: Solve for x
    x = 32,712,378,346.82/208,942.28
  6. Step 6: Final answer
    x = 156,561.79

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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.