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Finding the Fourth Proportional to 97,938, 146,920.07 and 38,759.83

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Solution

The fourth proportional to 97,938, 146,920.07 and 38,759.83 is: 58,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,938 : 146,920.07 = 38,759.83 : x
  2. Step 2: Convert to fraction form
    97,938/146,920.07 = 38,759.83/x
  3. Step 3: Cross multiply
    97,938x = 146,920.07 × 38,759.83
  4. Step 4: Simplify right side
    97,938x = 5,694,597,071.99
  5. Step 5: Solve for x
    x = 5,694,597,071.99/97,938
  6. Step 6: Final answer
    x = 58,144.92

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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.