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Finding the Fourth Proportional to 208,535.12, 312,771 and 68,290.64

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Solution

The fourth proportional to 208,535.12, 312,771 and 68,290.64 is: 102,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,535.12 : 312,771 = 68,290.64 : x
  2. Step 2: Convert to fraction form
    208,535.12/312,771 = 68,290.64/x
  3. Step 3: Cross multiply
    208,535.12x = 312,771 × 68,290.64
  4. Step 4: Simplify right side
    208,535.12x = 21,359,331,763.44
  5. Step 5: Solve for x
    x = 21,359,331,763.44/208,535.12
  6. Step 6: Final answer
    x = 102,425.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.