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Finding the Fourth Proportional to 106,942.40, 160,413.60 and 82,059.20

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Solution

The fourth proportional to 106,942.40, 160,413.60 and 82,059.20 is: 123,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,942.40 : 160,413.60 = 82,059.20 : x
  2. Step 2: Convert to fraction form
    106,942.40/160,413.60 = 82,059.20/x
  3. Step 3: Cross multiply
    106,942.40x = 160,413.60 × 82,059.20
  4. Step 4: Simplify right side
    106,942.40x = 13,163,411,685.12
  5. Step 5: Solve for x
    x = 13,163,411,685.12/106,942.40
  6. Step 6: Final answer
    x = 123,088.80

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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.