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Finding the Fourth Proportional to 208,536.60, 312,826.76 and 68,306.16

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Solution

The fourth proportional to 208,536.60, 312,826.76 and 68,306.16 is: 102,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,536.60 : 312,826.76 = 68,306.16 : x
  2. Step 2: Convert to fraction form
    208,536.60/312,826.76 = 68,306.16/x
  3. Step 3: Cross multiply
    208,536.60x = 312,826.76 × 68,306.16
  4. Step 4: Simplify right side
    208,536.60x = 21,367,994,720.84
  5. Step 5: Solve for x
    x = 21,367,994,720.84/208,536.60
  6. Step 6: Final answer
    x = 102,466.40

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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.