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Finding the Fourth Proportional to 208,195.50, 312,301.89 and 60,451.50

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Solution

The fourth proportional to 208,195.50, 312,301.89 and 60,451.50 is: 90,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,195.50 : 312,301.89 = 60,451.50 : x
  2. Step 2: Convert to fraction form
    208,195.50/312,301.89 = 60,451.50/x
  3. Step 3: Cross multiply
    208,195.50x = 312,301.89 × 60,451.50
  4. Step 4: Simplify right side
    208,195.50x = 18,879,117,703.34
  5. Step 5: Solve for x
    x = 18,879,117,703.34/208,195.50
  6. Step 6: Final answer
    x = 90,679.76

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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.