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Finding the Fourth Proportional to 208,143.20, 312,419.60 and 103,080.80

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Solution

The fourth proportional to 208,143.20, 312,419.60 and 103,080.80 is: 154,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,143.20 : 312,419.60 = 103,080.80 : x
  2. Step 2: Convert to fraction form
    208,143.20/312,419.60 = 103,080.80/x
  3. Step 3: Cross multiply
    208,143.20x = 312,419.60 × 103,080.80
  4. Step 4: Simplify right side
    208,143.20x = 32,204,462,303.68
  5. Step 5: Solve for x
    x = 32,204,462,303.68/208,143.20
  6. Step 6: Final answer
    x = 154,722.63

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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.