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Finding the Fourth Proportional to 256,675.84, 384,984.33 and 67,154.50

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Solution

The fourth proportional to 256,675.84, 384,984.33 and 67,154.50 is: 100,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,675.84 : 384,984.33 = 67,154.50 : x
  2. Step 2: Convert to fraction form
    256,675.84/384,984.33 = 67,154.50/x
  3. Step 3: Cross multiply
    256,675.84x = 384,984.33 × 67,154.50
  4. Step 4: Simplify right side
    256,675.84x = 25,853,430,418.39
  5. Step 5: Solve for x
    x = 25,853,430,418.39/256,675.84
  6. Step 6: Final answer
    x = 100,724.05

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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.