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Finding the Fourth Proportional to 100,065.54, 150,106.10 and 28,989.20

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Solution

The fourth proportional to 100,065.54, 150,106.10 and 28,989.20 is: 43,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,065.54 : 150,106.10 = 28,989.20 : x
  2. Step 2: Convert to fraction form
    100,065.54/150,106.10 = 28,989.20/x
  3. Step 3: Cross multiply
    100,065.54x = 150,106.10 × 28,989.20
  4. Step 4: Simplify right side
    100,065.54x = 4,351,455,806.86
  5. Step 5: Solve for x
    x = 4,351,455,806.86/100,065.54
  6. Step 6: Final answer
    x = 43,486.06

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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.