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Finding the Fourth Proportional to 100,465.44, 150,712.80 and 30,350.40

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Solution

The fourth proportional to 100,465.44, 150,712.80 and 30,350.40 is: 45,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,465.44 : 150,712.80 = 30,350.40 : x
  2. Step 2: Convert to fraction form
    100,465.44/150,712.80 = 30,350.40/x
  3. Step 3: Cross multiply
    100,465.44x = 150,712.80 × 30,350.40
  4. Step 4: Simplify right side
    100,465.44x = 4,574,193,765.12
  5. Step 5: Solve for x
    x = 4,574,193,765.12/100,465.44
  6. Step 6: Final answer
    x = 45,530.02

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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.