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Finding the Fourth Proportional to 208,662, 287,953.56 and 119,238

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Solution

The fourth proportional to 208,662, 287,953.56 and 119,238 is: 164,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,662 : 287,953.56 = 119,238 : x
  2. Step 2: Convert to fraction form
    208,662/287,953.56 = 119,238/x
  3. Step 3: Cross multiply
    208,662x = 287,953.56 × 119,238
  4. Step 4: Simplify right side
    208,662x = 34,335,006,587.28
  5. Step 5: Solve for x
    x = 34,335,006,587.28/208,662
  6. Step 6: Final answer
    x = 164,548.44

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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.