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Finding the Fourth Proportional to 208,082, 287,122.35 and 126,367.75

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Solution

The fourth proportional to 208,082, 287,122.35 and 126,367.75 is: 174,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082 : 287,122.35 = 126,367.75 : x
  2. Step 2: Convert to fraction form
    208,082/287,122.35 = 126,367.75/x
  3. Step 3: Cross multiply
    208,082x = 287,122.35 × 126,367.75
  4. Step 4: Simplify right side
    208,082x = 36,283,005,344.21
  5. Step 5: Solve for x
    x = 36,283,005,344.21/208,082
  6. Step 6: Final answer
    x = 174,368.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.