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Finding the Fourth Proportional to 212,692.88, 318,941.40 and 72,413.84

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Solution

The fourth proportional to 212,692.88, 318,941.40 and 72,413.84 is: 108,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,692.88 : 318,941.40 = 72,413.84 : x
  2. Step 2: Convert to fraction form
    212,692.88/318,941.40 = 72,413.84/x
  3. Step 3: Cross multiply
    212,692.88x = 318,941.40 × 72,413.84
  4. Step 4: Simplify right side
    212,692.88x = 23,095,771,508.98
  5. Step 5: Solve for x
    x = 23,095,771,508.98/212,692.88
  6. Step 6: Final answer
    x = 108,587.42

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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.