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Finding the Fourth Proportional to 208,097.80, 312,146.70 and 185,936.20

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Solution

The fourth proportional to 208,097.80, 312,146.70 and 185,936.20 is: 278,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,097.80 : 312,146.70 = 185,936.20 : x
  2. Step 2: Convert to fraction form
    208,097.80/312,146.70 = 185,936.20/x
  3. Step 3: Cross multiply
    208,097.80x = 312,146.70 × 185,936.20
  4. Step 4: Simplify right side
    208,097.80x = 58,039,371,240.54
  5. Step 5: Solve for x
    x = 58,039,371,240.54/208,097.80
  6. Step 6: Final answer
    x = 278,904.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.