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Finding the Fourth Proportional to 84,942.93, 127,413.81 and 21,762.93

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Solution

The fourth proportional to 84,942.93, 127,413.81 and 21,762.93 is: 32,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,942.93 : 127,413.81 = 21,762.93 : x
  2. Step 2: Convert to fraction form
    84,942.93/127,413.81 = 21,762.93/x
  3. Step 3: Cross multiply
    84,942.93x = 127,413.81 × 21,762.93
  4. Step 4: Simplify right side
    84,942.93x = 2,772,897,828.06
  5. Step 5: Solve for x
    x = 2,772,897,828.06/84,942.93
  6. Step 6: Final answer
    x = 32,644.25

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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.