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Finding the Fourth Proportional to 100,512.17, 150,768.26 and 78,342.27

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Solution

The fourth proportional to 100,512.17, 150,768.26 and 78,342.27 is: 117,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,512.17 : 150,768.26 = 78,342.27 : x
  2. Step 2: Convert to fraction form
    100,512.17/150,768.26 = 78,342.27/x
  3. Step 3: Cross multiply
    100,512.17x = 150,768.26 × 78,342.27
  4. Step 4: Simplify right side
    100,512.17x = 11,811,527,340.64
  5. Step 5: Solve for x
    x = 11,811,527,340.64/100,512.17
  6. Step 6: Final answer
    x = 117,513.41

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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.