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Finding the Fourth Proportional to 208,104.66, 287,114.14 and 135,474.39

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Solution

The fourth proportional to 208,104.66, 287,114.14 and 135,474.39 is: 186,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,104.66 : 287,114.14 = 135,474.39 : x
  2. Step 2: Convert to fraction form
    208,104.66/287,114.14 = 135,474.39/x
  3. Step 3: Cross multiply
    208,104.66x = 287,114.14 × 135,474.39
  4. Step 4: Simplify right side
    208,104.66x = 38,896,612,976.87
  5. Step 5: Solve for x
    x = 38,896,612,976.87/208,104.66
  6. Step 6: Final answer
    x = 186,908.90

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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.