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Finding the Fourth Proportional to 361,413.65, 542,121.69 and 91,541.69

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Solution

The fourth proportional to 361,413.65, 542,121.69 and 91,541.69 is: 137,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,413.65 : 542,121.69 = 91,541.69 : x
  2. Step 2: Convert to fraction form
    361,413.65/542,121.69 = 91,541.69/x
  3. Step 3: Cross multiply
    361,413.65x = 542,121.69 × 91,541.69
  4. Step 4: Simplify right side
    361,413.65x = 49,626,737,630.94
  5. Step 5: Solve for x
    x = 49,626,737,630.94/361,413.65
  6. Step 6: Final answer
    x = 137,312.85

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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.