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Finding the Fourth Proportional to 208,200.67, 312,303.56 and 73,268.75

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Solution

The fourth proportional to 208,200.67, 312,303.56 and 73,268.75 is: 109,904.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,200.67 : 312,303.56 = 73,268.75 : x
  2. Step 2: Convert to fraction form
    208,200.67/312,303.56 = 73,268.75/x
  3. Step 3: Cross multiply
    208,200.67x = 312,303.56 × 73,268.75
  4. Step 4: Simplify right side
    208,200.67x = 22,882,091,876.17
  5. Step 5: Solve for x
    x = 22,882,091,876.17/208,200.67
  6. Step 6: Final answer
    x = 109,904.03

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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.