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Finding the Fourth Proportional to 102,997.40, 154,496.10 and 82,261.40

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Solution

The fourth proportional to 102,997.40, 154,496.10 and 82,261.40 is: 123,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,997.40 : 154,496.10 = 82,261.40 : x
  2. Step 2: Convert to fraction form
    102,997.40/154,496.10 = 82,261.40/x
  3. Step 3: Cross multiply
    102,997.40x = 154,496.10 × 82,261.40
  4. Step 4: Simplify right side
    102,997.40x = 12,709,065,480.54
  5. Step 5: Solve for x
    x = 12,709,065,480.54/102,997.40
  6. Step 6: Final answer
    x = 123,392.10

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1.5x scale

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.