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Finding the Fourth Proportional to 81,460.63, 112,413.83 and 47,467

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Solution

The fourth proportional to 81,460.63, 112,413.83 and 47,467 is: 65,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,460.63 : 112,413.83 = 47,467 : x
  2. Step 2: Convert to fraction form
    81,460.63/112,413.83 = 47,467/x
  3. Step 3: Cross multiply
    81,460.63x = 112,413.83 × 47,467
  4. Step 4: Simplify right side
    81,460.63x = 5,335,947,031.28
  5. Step 5: Solve for x
    x = 5,335,947,031.28/81,460.63
  6. Step 6: Final answer
    x = 65,503.39

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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.