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Finding the Fourth Proportional to 272,413.26, 408,737.41 and 103,984.16

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Solution

The fourth proportional to 272,413.26, 408,737.41 and 103,984.16 is: 156,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,413.26 : 408,737.41 = 103,984.16 : x
  2. Step 2: Convert to fraction form
    272,413.26/408,737.41 = 103,984.16/x
  3. Step 3: Cross multiply
    272,413.26x = 408,737.41 × 103,984.16
  4. Step 4: Simplify right side
    272,413.26x = 42,502,213,935.78
  5. Step 5: Solve for x
    x = 42,502,213,935.78/272,413.26
  6. Step 6: Final answer
    x = 156,021.09

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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.