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Finding the Fourth Proportional to 208,695.48, 312,786.68 and 96,219.57

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Solution

The fourth proportional to 208,695.48, 312,786.68 and 96,219.57 is: 144,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,695.48 : 312,786.68 = 96,219.57 : x
  2. Step 2: Convert to fraction form
    208,695.48/312,786.68 = 96,219.57/x
  3. Step 3: Cross multiply
    208,695.48x = 312,786.68 × 96,219.57
  4. Step 4: Simplify right side
    208,695.48x = 30,096,199,370.23
  5. Step 5: Solve for x
    x = 30,096,199,370.23/208,695.48
  6. Step 6: Final answer
    x = 144,211.07

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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.