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Finding the Fourth Proportional to 100,345.68, 150,518.16 and 30,230.64

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Solution

The fourth proportional to 100,345.68, 150,518.16 and 30,230.64 is: 45,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,345.68 : 150,518.16 = 30,230.64 : x
  2. Step 2: Convert to fraction form
    100,345.68/150,518.16 = 30,230.64/x
  3. Step 3: Cross multiply
    100,345.68x = 150,518.16 × 30,230.64
  4. Step 4: Simplify right side
    100,345.68x = 4,550,260,308.42
  5. Step 5: Solve for x
    x = 4,550,260,308.42/100,345.68
  6. Step 6: Final answer
    x = 45,345.85

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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.