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Finding the Fourth Proportional to 207,996.58, 287,035.32 and 117,371.80

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Solution

The fourth proportional to 207,996.58, 287,035.32 and 117,371.80 is: 161,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,996.58 : 287,035.32 = 117,371.80 : x
  2. Step 2: Convert to fraction form
    207,996.58/287,035.32 = 117,371.80/x
  3. Step 3: Cross multiply
    207,996.58x = 287,035.32 × 117,371.80
  4. Step 4: Simplify right side
    207,996.58x = 33,689,852,171.98
  5. Step 5: Solve for x
    x = 33,689,852,171.98/207,996.58
  6. Step 6: Final answer
    x = 161,973.11

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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.