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Finding the Fourth Proportional to 100,441.91, 150,658.53 and 30,319.13

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Solution

The fourth proportional to 100,441.91, 150,658.53 and 30,319.13 is: 45,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,441.91 : 150,658.53 = 30,319.13 : x
  2. Step 2: Convert to fraction form
    100,441.91/150,658.53 = 30,319.13/x
  3. Step 3: Cross multiply
    100,441.91x = 150,658.53 × 30,319.13
  4. Step 4: Simplify right side
    100,441.91x = 4,567,834,803.39
  5. Step 5: Solve for x
    x = 4,567,834,803.39/100,441.91
  6. Step 6: Final answer
    x = 45,477.38

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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.