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Finding the Fourth Proportional to 208,675, 287,971.50 and 119,251

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Solution

The fourth proportional to 208,675, 287,971.50 and 119,251 is: 164,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,675 : 287,971.50 = 119,251 : x
  2. Step 2: Convert to fraction form
    208,675/287,971.50 = 119,251/x
  3. Step 3: Cross multiply
    208,675x = 287,971.50 × 119,251
  4. Step 4: Simplify right side
    208,675x = 34,340,889,346.50
  5. Step 5: Solve for x
    x = 34,340,889,346.50/208,675
  6. Step 6: Final answer
    x = 164,566.38

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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.