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Finding the Fourth Proportional to 52,768, 72,819.84 and 30,413.44

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Solution

The fourth proportional to 52,768, 72,819.84 and 30,413.44 is: 41,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,768 : 72,819.84 = 30,413.44 : x
  2. Step 2: Convert to fraction form
    52,768/72,819.84 = 30,413.44/x
  3. Step 3: Cross multiply
    52,768x = 72,819.84 × 30,413.44
  4. Step 4: Simplify right side
    52,768x = 2,214,701,834.65
  5. Step 5: Solve for x
    x = 2,214,701,834.65/52,768
  6. Step 6: Final answer
    x = 41,970.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.