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Finding the Fourth Proportional to 138,420.80, 194,314 and 138,420.80

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Solution

The fourth proportional to 138,420.80, 194,314 and 138,420.80 is: 194,314

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,420.80 : 194,314 = 138,420.80 : x
  2. Step 2: Convert to fraction form
    138,420.80/194,314 = 138,420.80/x
  3. Step 3: Cross multiply
    138,420.80x = 194,314 × 138,420.80
  4. Step 4: Simplify right side
    138,420.80x = 26,897,099,331.20
  5. Step 5: Solve for x
    x = 26,897,099,331.20/138,420.80
  6. Step 6: Final answer
    x = 194,314

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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.