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Finding the Fourth Proportional to 210,770.85, 315,934.84 and 130,808.66

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Solution

The fourth proportional to 210,770.85, 315,934.84 and 130,808.66 is: 196,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,770.85 : 315,934.84 = 130,808.66 : x
  2. Step 2: Convert to fraction form
    210,770.85/315,934.84 = 130,808.66/x
  3. Step 3: Cross multiply
    210,770.85x = 315,934.84 × 130,808.66
  4. Step 4: Simplify right side
    210,770.85x = 41,327,012,413.67
  5. Step 5: Solve for x
    x = 41,327,012,413.67/210,770.85
  6. Step 6: Final answer
    x = 196,075.56

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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.