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Finding the Fourth Proportional to 102,910.74, 154,361.43 and 42,914.46

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Solution

The fourth proportional to 102,910.74, 154,361.43 and 42,914.46 is: 64,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,910.74 : 154,361.43 = 42,914.46 : x
  2. Step 2: Convert to fraction form
    102,910.74/154,361.43 = 42,914.46/x
  3. Step 3: Cross multiply
    102,910.74x = 154,361.43 × 42,914.46
  4. Step 4: Simplify right side
    102,910.74x = 6,624,337,413.28
  5. Step 5: Solve for x
    x = 6,624,337,413.28/102,910.74
  6. Step 6: Final answer
    x = 64,369.74

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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.