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Finding the Fourth Proportional to 208,312.04, 312,329.18 and 68,021.48

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Solution

The fourth proportional to 208,312.04, 312,329.18 and 68,021.48 is: 101,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.04 : 312,329.18 = 68,021.48 : x
  2. Step 2: Convert to fraction form
    208,312.04/312,329.18 = 68,021.48/x
  3. Step 3: Cross multiply
    208,312.04x = 312,329.18 × 68,021.48
  4. Step 4: Simplify right side
    208,312.04x = 21,245,093,070.79
  5. Step 5: Solve for x
    x = 21,245,093,070.79/208,312.04
  6. Step 6: Final answer
    x = 101,986.87

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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.