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Finding the Fourth Proportional to 155,821.70, 233,744.70 and 67,078.10

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Solution

The fourth proportional to 155,821.70, 233,744.70 and 67,078.10 is: 100,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,821.70 : 233,744.70 = 67,078.10 : x
  2. Step 2: Convert to fraction form
    155,821.70/233,744.70 = 67,078.10/x
  3. Step 3: Cross multiply
    155,821.70x = 233,744.70 × 67,078.10
  4. Step 4: Simplify right side
    155,821.70x = 15,679,150,361.07
  5. Step 5: Solve for x
    x = 15,679,150,361.07/155,821.70
  6. Step 6: Final answer
    x = 100,622.38

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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.