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Finding the Fourth Proportional to 138,428.30, 194,324.50 and 138,428.30

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Solution

The fourth proportional to 138,428.30, 194,324.50 and 138,428.30 is: 194,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,428.30 : 194,324.50 = 138,428.30 : x
  2. Step 2: Convert to fraction form
    138,428.30/194,324.50 = 138,428.30/x
  3. Step 3: Cross multiply
    138,428.30x = 194,324.50 × 138,428.30
  4. Step 4: Simplify right side
    138,428.30x = 26,900,010,183.35
  5. Step 5: Solve for x
    x = 26,900,010,183.35/138,428.30
  6. Step 6: Final answer
    x = 194,324.50

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1.5x scale

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.