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Finding the Fourth Proportional to 208,858.11, 288,224.43 and 113,364.78

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Solution

The fourth proportional to 208,858.11, 288,224.43 and 113,364.78 is: 156,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,858.11 : 288,224.43 = 113,364.78 : x
  2. Step 2: Convert to fraction form
    208,858.11/288,224.43 = 113,364.78/x
  3. Step 3: Cross multiply
    208,858.11x = 288,224.43 × 113,364.78
  4. Step 4: Simplify right side
    208,858.11x = 32,674,499,097.58
  5. Step 5: Solve for x
    x = 32,674,499,097.58/208,858.11
  6. Step 6: Final answer
    x = 156,443.53

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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.