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Finding the Fourth Proportional to 254,178, 381,267 and 67,189.50

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Solution

The fourth proportional to 254,178, 381,267 and 67,189.50 is: 100,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,178 : 381,267 = 67,189.50 : x
  2. Step 2: Convert to fraction form
    254,178/381,267 = 67,189.50/x
  3. Step 3: Cross multiply
    254,178x = 381,267 × 67,189.50
  4. Step 4: Simplify right side
    254,178x = 25,617,139,096.50
  5. Step 5: Solve for x
    x = 25,617,139,096.50/254,178
  6. Step 6: Final answer
    x = 100,784.25

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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.