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Finding the Fourth Proportional to 208,097.20, 312,145.80 and 74,981.80

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Solution

The fourth proportional to 208,097.20, 312,145.80 and 74,981.80 is: 112,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,097.20 : 312,145.80 = 74,981.80 : x
  2. Step 2: Convert to fraction form
    208,097.20/312,145.80 = 74,981.80/x
  3. Step 3: Cross multiply
    208,097.20x = 312,145.80 × 74,981.80
  4. Step 4: Simplify right side
    208,097.20x = 23,405,253,946.44
  5. Step 5: Solve for x
    x = 23,405,253,946.44/208,097.20
  6. Step 6: Final answer
    x = 112,472.70

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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.