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Finding the Fourth Proportional to 84,138.16, 116,111.28 and 46,413.76

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Solution

The fourth proportional to 84,138.16, 116,111.28 and 46,413.76 is: 64,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,138.16 : 116,111.28 = 46,413.76 : x
  2. Step 2: Convert to fraction form
    84,138.16/116,111.28 = 46,413.76/x
  3. Step 3: Cross multiply
    84,138.16x = 116,111.28 × 46,413.76
  4. Step 4: Simplify right side
    84,138.16x = 5,389,161,083.21
  5. Step 5: Solve for x
    x = 5,389,161,083.21/84,138.16
  6. Step 6: Final answer
    x = 64,051.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.