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Finding the Fourth Proportional to 208,694.64, 287,998.62 and 118,048.66

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Solution

The fourth proportional to 208,694.64, 287,998.62 and 118,048.66 is: 162,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,694.64 : 287,998.62 = 118,048.66 : x
  2. Step 2: Convert to fraction form
    208,694.64/287,998.62 = 118,048.66/x
  3. Step 3: Cross multiply
    208,694.64x = 287,998.62 × 118,048.66
  4. Step 4: Simplify right side
    208,694.64x = 33,997,851,172.85
  5. Step 5: Solve for x
    x = 33,997,851,172.85/208,694.64
  6. Step 6: Final answer
    x = 162,907.16

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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.