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Finding the Fourth Proportional to 208,435.76, 312,620.97 and 66,262.40

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Solution

The fourth proportional to 208,435.76, 312,620.97 and 66,262.40 is: 99,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,435.76 : 312,620.97 = 66,262.40 : x
  2. Step 2: Convert to fraction form
    208,435.76/312,620.97 = 66,262.40/x
  3. Step 3: Cross multiply
    208,435.76x = 312,620.97 × 66,262.40
  4. Step 4: Simplify right side
    208,435.76x = 20,715,015,762.53
  5. Step 5: Solve for x
    x = 20,715,015,762.53/208,435.76
  6. Step 6: Final answer
    x = 99,383.21

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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.