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Finding the Fourth Proportional to 208,314, 312,406.20 and 75,176.82

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Solution

The fourth proportional to 208,314, 312,406.20 and 75,176.82 is: 112,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,314 : 312,406.20 = 75,176.82 : x
  2. Step 2: Convert to fraction form
    208,314/312,406.20 = 75,176.82/x
  3. Step 3: Cross multiply
    208,314x = 312,406.20 × 75,176.82
  4. Step 4: Simplify right side
    208,314x = 23,485,704,664.28
  5. Step 5: Solve for x
    x = 23,485,704,664.28/208,314
  6. Step 6: Final answer
    x = 112,741.84

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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.