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Finding the Fourth Proportional to 208,559.80, 287,814 and 113,068

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Solution

The fourth proportional to 208,559.80, 287,814 and 113,068 is: 156,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,559.80 : 287,814 = 113,068 : x
  2. Step 2: Convert to fraction form
    208,559.80/287,814 = 113,068/x
  3. Step 3: Cross multiply
    208,559.80x = 287,814 × 113,068
  4. Step 4: Simplify right side
    208,559.80x = 32,542,553,352
  5. Step 5: Solve for x
    x = 32,542,553,352/208,559.80
  6. Step 6: Final answer
    x = 156,034.64

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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.