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Finding the Fourth Proportional to 208,014.20, 312,021.30 and 102,811.40

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Solution

The fourth proportional to 208,014.20, 312,021.30 and 102,811.40 is: 154,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,014.20 : 312,021.30 = 102,811.40 : x
  2. Step 2: Convert to fraction form
    208,014.20/312,021.30 = 102,811.40/x
  3. Step 3: Cross multiply
    208,014.20x = 312,021.30 × 102,811.40
  4. Step 4: Simplify right side
    208,014.20x = 32,079,346,682.82
  5. Step 5: Solve for x
    x = 32,079,346,682.82/208,014.20
  6. Step 6: Final answer
    x = 154,217.10

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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.