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Finding the Fourth Proportional to 208,176.80, 312,361.80 and 66,044.48

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Solution

The fourth proportional to 208,176.80, 312,361.80 and 66,044.48 is: 99,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,176.80 : 312,361.80 = 66,044.48 : x
  2. Step 2: Convert to fraction form
    208,176.80/312,361.80 = 66,044.48/x
  3. Step 3: Cross multiply
    208,176.80x = 312,361.80 × 66,044.48
  4. Step 4: Simplify right side
    208,176.80x = 20,629,772,652.86
  5. Step 5: Solve for x
    x = 20,629,772,652.86/208,176.80
  6. Step 6: Final answer
    x = 99,097.37

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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.