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Finding the Fourth Proportional to 77,274, 106,638.12 and 43,740

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Solution

The fourth proportional to 77,274, 106,638.12 and 43,740 is: 60,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,274 : 106,638.12 = 43,740 : x
  2. Step 2: Convert to fraction form
    77,274/106,638.12 = 43,740/x
  3. Step 3: Cross multiply
    77,274x = 106,638.12 × 43,740
  4. Step 4: Simplify right side
    77,274x = 4,664,351,368.80
  5. Step 5: Solve for x
    x = 4,664,351,368.80/77,274
  6. Step 6: Final answer
    x = 60,361.20

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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.