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Finding the Fourth Proportional to 122,187.70, 183,281.55 and 107,413.30

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Solution

The fourth proportional to 122,187.70, 183,281.55 and 107,413.30 is: 161,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,187.70 : 183,281.55 = 107,413.30 : x
  2. Step 2: Convert to fraction form
    122,187.70/183,281.55 = 107,413.30/x
  3. Step 3: Cross multiply
    122,187.70x = 183,281.55 × 107,413.30
  4. Step 4: Simplify right side
    122,187.70x = 19,686,876,114.62
  5. Step 5: Solve for x
    x = 19,686,876,114.62/122,187.70
  6. Step 6: Final answer
    x = 161,119.95

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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.