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Finding the Fourth Proportional to 138,427.20, 193,929.30 and 138,427.20

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Solution

The fourth proportional to 138,427.20, 193,929.30 and 138,427.20 is: 193,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,427.20 : 193,929.30 = 138,427.20 : x
  2. Step 2: Convert to fraction form
    138,427.20/193,929.30 = 138,427.20/x
  3. Step 3: Cross multiply
    138,427.20x = 193,929.30 × 138,427.20
  4. Step 4: Simplify right side
    138,427.20x = 26,845,089,996.96
  5. Step 5: Solve for x
    x = 26,845,089,996.96/138,427.20
  6. Step 6: Final answer
    x = 193,929.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.