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Finding the Fourth Proportional to 130,074.40, 195,111.60 and 100,549.90

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Solution

The fourth proportional to 130,074.40, 195,111.60 and 100,549.90 is: 150,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,074.40 : 195,111.60 = 100,549.90 : x
  2. Step 2: Convert to fraction form
    130,074.40/195,111.60 = 100,549.90/x
  3. Step 3: Cross multiply
    130,074.40x = 195,111.60 × 100,549.90
  4. Step 4: Simplify right side
    130,074.40x = 19,618,451,868.84
  5. Step 5: Solve for x
    x = 19,618,451,868.84/130,074.40
  6. Step 6: Final answer
    x = 150,824.85

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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.