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Finding the Fourth Proportional to 256,672.25, 384,978.96 and 67,150.90

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Solution

The fourth proportional to 256,672.25, 384,978.96 and 67,150.90 is: 100,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,672.25 : 384,978.96 = 67,150.90 : x
  2. Step 2: Convert to fraction form
    256,672.25/384,978.96 = 67,150.90/x
  3. Step 3: Cross multiply
    256,672.25x = 384,978.96 × 67,150.90
  4. Step 4: Simplify right side
    256,672.25x = 25,851,684,271.76
  5. Step 5: Solve for x
    x = 25,851,684,271.76/256,672.25
  6. Step 6: Final answer
    x = 100,718.66

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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.