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Finding the Fourth Proportional to 256,567.05, 384,578.42 and 98,727.21

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Solution

The fourth proportional to 256,567.05, 384,578.42 and 98,727.21 is: 147,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,567.05 : 384,578.42 = 98,727.21 : x
  2. Step 2: Convert to fraction form
    256,567.05/384,578.42 = 98,727.21/x
  3. Step 3: Cross multiply
    256,567.05x = 384,578.42 × 98,727.21
  4. Step 4: Simplify right side
    256,567.05x = 37,968,353,939.17
  5. Step 5: Solve for x
    x = 37,968,353,939.17/256,567.05
  6. Step 6: Final answer
    x = 147,986.09

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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.