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Finding the Fourth Proportional to 123,030.20, 184,107.90 and 85,413.80

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Solution

The fourth proportional to 123,030.20, 184,107.90 and 85,413.80 is: 127,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,030.20 : 184,107.90 = 85,413.80 : x
  2. Step 2: Convert to fraction form
    123,030.20/184,107.90 = 85,413.80/x
  3. Step 3: Cross multiply
    123,030.20x = 184,107.90 × 85,413.80
  4. Step 4: Simplify right side
    123,030.20x = 15,725,355,349.02
  5. Step 5: Solve for x
    x = 15,725,355,349.02/123,030.20
  6. Step 6: Final answer
    x = 127,817.03

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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.