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Finding the Fourth Proportional to 138,419.30, 194,311.90 and 138,419.30

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Solution

The fourth proportional to 138,419.30, 194,311.90 and 138,419.30 is: 194,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,419.30 : 194,311.90 = 138,419.30 : x
  2. Step 2: Convert to fraction form
    138,419.30/194,311.90 = 138,419.30/x
  3. Step 3: Cross multiply
    138,419.30x = 194,311.90 × 138,419.30
  4. Step 4: Simplify right side
    138,419.30x = 26,896,517,179.67
  5. Step 5: Solve for x
    x = 26,896,517,179.67/138,419.30
  6. Step 6: Final answer
    x = 194,311.90

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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.