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Finding the Fourth Proportional to 100,416.31, 150,464.39 and 53,029.49

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Solution

The fourth proportional to 100,416.31, 150,464.39 and 53,029.49 is: 79,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,416.31 : 150,464.39 = 53,029.49 : x
  2. Step 2: Convert to fraction form
    100,416.31/150,464.39 = 53,029.49/x
  3. Step 3: Cross multiply
    100,416.31x = 150,464.39 × 53,029.49
  4. Step 4: Simplify right side
    100,416.31x = 7,979,048,847.39
  5. Step 5: Solve for x
    x = 7,979,048,847.39/100,416.31
  6. Step 6: Final answer
    x = 79,459.69

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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.