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Finding the Fourth Proportional to 208,663, 287,954.94 and 119,239

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Solution

The fourth proportional to 208,663, 287,954.94 and 119,239 is: 164,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,663 : 287,954.94 = 119,239 : x
  2. Step 2: Convert to fraction form
    208,663/287,954.94 = 119,239/x
  3. Step 3: Cross multiply
    208,663x = 287,954.94 × 119,239
  4. Step 4: Simplify right side
    208,663x = 34,335,459,090.66
  5. Step 5: Solve for x
    x = 34,335,459,090.66/208,663
  6. Step 6: Final answer
    x = 164,549.82

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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.