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Finding the Fourth Proportional to 256,111.20, 384,166.80 and 78,618.60

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Solution

The fourth proportional to 256,111.20, 384,166.80 and 78,618.60 is: 117,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,111.20 : 384,166.80 = 78,618.60 : x
  2. Step 2: Convert to fraction form
    256,111.20/384,166.80 = 78,618.60/x
  3. Step 3: Cross multiply
    256,111.20x = 384,166.80 × 78,618.60
  4. Step 4: Simplify right side
    256,111.20x = 30,202,655,982.48
  5. Step 5: Solve for x
    x = 30,202,655,982.48/256,111.20
  6. Step 6: Final answer
    x = 117,927.90

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1.5x scale

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.