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Finding the Fourth Proportional to 85,509.44, 128,262.72 and 30,104

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Solution

The fourth proportional to 85,509.44, 128,262.72 and 30,104 is: 45,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,509.44 : 128,262.72 = 30,104 : x
  2. Step 2: Convert to fraction form
    85,509.44/128,262.72 = 30,104/x
  3. Step 3: Cross multiply
    85,509.44x = 128,262.72 × 30,104
  4. Step 4: Simplify right side
    85,509.44x = 3,861,220,922.88
  5. Step 5: Solve for x
    x = 3,861,220,922.88/85,509.44
  6. Step 6: Final answer
    x = 45,155.49

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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.