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Finding the Fourth Proportional to 82,413.20, 123,619.80 and 81,538.40

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Solution

The fourth proportional to 82,413.20, 123,619.80 and 81,538.40 is: 122,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,413.20 : 123,619.80 = 81,538.40 : x
  2. Step 2: Convert to fraction form
    82,413.20/123,619.80 = 81,538.40/x
  3. Step 3: Cross multiply
    82,413.20x = 123,619.80 × 81,538.40
  4. Step 4: Simplify right side
    82,413.20x = 10,079,760,700.32
  5. Step 5: Solve for x
    x = 10,079,760,700.32/82,413.20
  6. Step 6: Final answer
    x = 122,307.60

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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.