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Finding the Fourth Proportional to 100,114.56, 150,176.83 and 29,987.19

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Solution

The fourth proportional to 100,114.56, 150,176.83 and 29,987.19 is: 44,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,114.56 : 150,176.83 = 29,987.19 : x
  2. Step 2: Convert to fraction form
    100,114.56/150,176.83 = 29,987.19/x
  3. Step 3: Cross multiply
    100,114.56x = 150,176.83 × 29,987.19
  4. Step 4: Simplify right side
    100,114.56x = 4,503,381,134.81
  5. Step 5: Solve for x
    x = 4,503,381,134.81/100,114.56
  6. Step 6: Final answer
    x = 44,982.28

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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.