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Finding the Fourth Proportional to 54,657, 75,413.70 and 30,778.92

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Solution

The fourth proportional to 54,657, 75,413.70 and 30,778.92 is: 42,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,657 : 75,413.70 = 30,778.92 : x
  2. Step 2: Convert to fraction form
    54,657/75,413.70 = 30,778.92/x
  3. Step 3: Cross multiply
    54,657x = 75,413.70 × 30,778.92
  4. Step 4: Simplify right side
    54,657x = 2,321,152,239.20
  5. Step 5: Solve for x
    x = 2,321,152,239.20/54,657
  6. Step 6: Final answer
    x = 42,467.61

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1.5x scale

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.