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Finding the Fourth Proportional to 203,312.84, 280,413.50 and 122,656.28

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Solution

The fourth proportional to 203,312.84, 280,413.50 and 122,656.28 is: 169,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,312.84 : 280,413.50 = 122,656.28 : x
  2. Step 2: Convert to fraction form
    203,312.84/280,413.50 = 122,656.28/x
  3. Step 3: Cross multiply
    203,312.84x = 280,413.50 × 122,656.28
  4. Step 4: Simplify right side
    203,312.84x = 34,394,474,756.43
  5. Step 5: Solve for x
    x = 34,394,474,756.43/203,312.84
  6. Step 6: Final answer
    x = 169,170.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.