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Finding the Fourth Proportional to 256,671.87, 384,978.39 and 67,150.53

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Solution

The fourth proportional to 256,671.87, 384,978.39 and 67,150.53 is: 100,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,671.87 : 384,978.39 = 67,150.53 : x
  2. Step 2: Convert to fraction form
    256,671.87/384,978.39 = 67,150.53/x
  3. Step 3: Cross multiply
    256,671.87x = 384,978.39 × 67,150.53
  4. Step 4: Simplify right side
    256,671.87x = 25,851,502,927.05
  5. Step 5: Solve for x
    x = 25,851,502,927.05/256,671.87
  6. Step 6: Final answer
    x = 100,718.10

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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.