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Finding the Fourth Proportional to 100,272.64, 150,408.96 and 47,653.42

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Solution

The fourth proportional to 100,272.64, 150,408.96 and 47,653.42 is: 71,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,272.64 : 150,408.96 = 47,653.42 : x
  2. Step 2: Convert to fraction form
    100,272.64/150,408.96 = 47,653.42/x
  3. Step 3: Cross multiply
    100,272.64x = 150,408.96 × 47,653.42
  4. Step 4: Simplify right side
    100,272.64x = 7,167,501,342.64
  5. Step 5: Solve for x
    x = 7,167,501,342.64/100,272.64
  6. Step 6: Final answer
    x = 71,480.13

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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.