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Finding the Fourth Proportional to 100,216.36, 150,120.34 and 47,465.92

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Solution

The fourth proportional to 100,216.36, 150,120.34 and 47,465.92 is: 71,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216.36 : 150,120.34 = 47,465.92 : x
  2. Step 2: Convert to fraction form
    100,216.36/150,120.34 = 47,465.92/x
  3. Step 3: Cross multiply
    100,216.36x = 150,120.34 × 47,465.92
  4. Step 4: Simplify right side
    100,216.36x = 7,125,600,048.81
  5. Step 5: Solve for x
    x = 7,125,600,048.81/100,216.36
  6. Step 6: Final answer
    x = 71,102.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.