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Finding the Fourth Proportional to 208,567.74, 312,868.08 and 82,199.37

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Solution

The fourth proportional to 208,567.74, 312,868.08 and 82,199.37 is: 123,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,567.74 : 312,868.08 = 82,199.37 : x
  2. Step 2: Convert to fraction form
    208,567.74/312,868.08 = 82,199.37/x
  3. Step 3: Cross multiply
    208,567.74x = 312,868.08 × 82,199.37
  4. Step 4: Simplify right side
    208,567.74x = 25,717,559,069.11
  5. Step 5: Solve for x
    x = 25,717,559,069.11/208,567.74
  6. Step 6: Final answer
    x = 123,305.55

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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.