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Finding the Fourth Proportional to 138,181.20, 207,271.80 and 105,003.60

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Solution

The fourth proportional to 138,181.20, 207,271.80 and 105,003.60 is: 157,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,181.20 : 207,271.80 = 105,003.60 : x
  2. Step 2: Convert to fraction form
    138,181.20/207,271.80 = 105,003.60/x
  3. Step 3: Cross multiply
    138,181.20x = 207,271.80 × 105,003.60
  4. Step 4: Simplify right side
    138,181.20x = 21,764,285,178.48
  5. Step 5: Solve for x
    x = 21,764,285,178.48/138,181.20
  6. Step 6: Final answer
    x = 157,505.40

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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.