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Finding the Fourth Proportional to 209,151.42, 288,628.74 and 113,657.92

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Solution

The fourth proportional to 209,151.42, 288,628.74 and 113,657.92 is: 156,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,151.42 : 288,628.74 = 113,657.92 : x
  2. Step 2: Convert to fraction form
    209,151.42/288,628.74 = 113,657.92/x
  3. Step 3: Cross multiply
    209,151.42x = 288,628.74 × 113,657.92
  4. Step 4: Simplify right side
    209,151.42x = 32,804,942,240.62
  5. Step 5: Solve for x
    x = 32,804,942,240.62/209,151.42
  6. Step 6: Final answer
    x = 156,847.81

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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.