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Finding the Fourth Proportional to 82,718.34, 124,133.10 and 82,413.99

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Solution

The fourth proportional to 82,718.34, 124,133.10 and 82,413.99 is: 123,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,718.34 : 124,133.10 = 82,413.99 : x
  2. Step 2: Convert to fraction form
    82,718.34/124,133.10 = 82,413.99/x
  3. Step 3: Cross multiply
    82,718.34x = 124,133.10 × 82,413.99
  4. Step 4: Simplify right side
    82,718.34x = 10,230,304,062.07
  5. Step 5: Solve for x
    x = 10,230,304,062.07/82,718.34
  6. Step 6: Final answer
    x = 123,676.37

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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.