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Finding the Fourth Proportional to 208,077.38, 287,116.00 and 126,363.14

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Solution

The fourth proportional to 208,077.38, 287,116.00 and 126,363.14 is: 174,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,077.38 : 287,116.00 = 126,363.14 : x
  2. Step 2: Convert to fraction form
    208,077.38/287,116.00 = 126,363.14/x
  3. Step 3: Cross multiply
    208,077.38x = 287,116.00 × 126,363.14
  4. Step 4: Simplify right side
    208,077.38x = 36,280,878,629.44
  5. Step 5: Solve for x
    x = 36,280,878,629.44/208,077.38
  6. Step 6: Final answer
    x = 174,362.44

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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.