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Finding the Fourth Proportional to 47,470, 71,220.60 and 19,413.66

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Solution

The fourth proportional to 47,470, 71,220.60 and 19,413.66 is: 29,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,470 : 71,220.60 = 19,413.66 : x
  2. Step 2: Convert to fraction form
    47,470/71,220.60 = 19,413.66/x
  3. Step 3: Cross multiply
    47,470x = 71,220.60 × 19,413.66
  4. Step 4: Simplify right side
    47,470x = 1,382,652,513.40
  5. Step 5: Solve for x
    x = 1,382,652,513.40/47,470
  6. Step 6: Final answer
    x = 29,126.87

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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.