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Finding the Fourth Proportional to 212,611, 319,113.32 and 107,503.78

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Solution

The fourth proportional to 212,611, 319,113.32 and 107,503.78 is: 161,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,611 : 319,113.32 = 107,503.78 : x
  2. Step 2: Convert to fraction form
    212,611/319,113.32 = 107,503.78/x
  3. Step 3: Cross multiply
    212,611x = 319,113.32 × 107,503.78
  4. Step 4: Simplify right side
    212,611x = 34,305,888,148.35
  5. Step 5: Solve for x
    x = 34,305,888,148.35/212,611
  6. Step 6: Final answer
    x = 161,355.19

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1.5x scale

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.