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Finding the Fourth Proportional to 40,270, 60,413.64 and 15,646

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Solution

The fourth proportional to 40,270, 60,413.64 and 15,646 is: 23,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,270 : 60,413.64 = 15,646 : x
  2. Step 2: Convert to fraction form
    40,270/60,413.64 = 15,646/x
  3. Step 3: Cross multiply
    40,270x = 60,413.64 × 15,646
  4. Step 4: Simplify right side
    40,270x = 945,231,811.44
  5. Step 5: Solve for x
    x = 945,231,811.44/40,270
  6. Step 6: Final answer
    x = 23,472.36

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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.