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Finding the Fourth Proportional to 147,395.77, 203,413.38 and 82,885.32

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Solution

The fourth proportional to 147,395.77, 203,413.38 and 82,885.32 is: 114,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,395.77 : 203,413.38 = 82,885.32 : x
  2. Step 2: Convert to fraction form
    147,395.77/203,413.38 = 82,885.32/x
  3. Step 3: Cross multiply
    147,395.77x = 203,413.38 × 82,885.32
  4. Step 4: Simplify right side
    147,395.77x = 16,859,982,676.89
  5. Step 5: Solve for x
    x = 16,859,982,676.89/147,395.77
  6. Step 6: Final answer
    x = 114,385.79

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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.