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Finding the Fourth Proportional to 76,573.63, 114,865.92 and 20,413.44

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Solution

The fourth proportional to 76,573.63, 114,865.92 and 20,413.44 is: 30,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,573.63 : 114,865.92 = 20,413.44 : x
  2. Step 2: Convert to fraction form
    76,573.63/114,865.92 = 20,413.44/x
  3. Step 3: Cross multiply
    76,573.63x = 114,865.92 × 20,413.44
  4. Step 4: Simplify right side
    76,573.63x = 2,344,808,946.44
  5. Step 5: Solve for x
    x = 2,344,808,946.44/76,573.63
  6. Step 6: Final answer
    x = 30,621.63

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1.5x scale

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.