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Finding the Fourth Proportional to 208,859.86, 288,226.83 and 113,366.53

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Solution

The fourth proportional to 208,859.86, 288,226.83 and 113,366.53 is: 156,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,859.86 : 288,226.83 = 113,366.53 : x
  2. Step 2: Convert to fraction form
    208,859.86/288,226.83 = 113,366.53/x
  3. Step 3: Cross multiply
    208,859.86x = 288,226.83 × 113,366.53
  4. Step 4: Simplify right side
    208,859.86x = 32,675,275,570.00
  5. Step 5: Solve for x
    x = 32,675,275,570.00/208,859.86
  6. Step 6: Final answer
    x = 156,445.93

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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.