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Finding the Fourth Proportional to 193,590, 290,395.94 and 68,931

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Solution

The fourth proportional to 193,590, 290,395.94 and 68,931 is: 103,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,590 : 290,395.94 = 68,931 : x
  2. Step 2: Convert to fraction form
    193,590/290,395.94 = 68,931/x
  3. Step 3: Cross multiply
    193,590x = 290,395.94 × 68,931
  4. Step 4: Simplify right side
    193,590x = 20,017,282,195.49
  5. Step 5: Solve for x
    x = 20,017,282,195.49/193,590
  6. Step 6: Final answer
    x = 103,400.39

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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.