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Finding the Fourth Proportional to 221,462, 332,426.80 and 103,247.36

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Solution

The fourth proportional to 221,462, 332,426.80 and 103,247.36 is: 154,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,462 : 332,426.80 = 103,247.36 : x
  2. Step 2: Convert to fraction form
    221,462/332,426.80 = 103,247.36/x
  3. Step 3: Cross multiply
    221,462x = 332,426.80 × 103,247.36
  4. Step 4: Simplify right side
    221,462x = 34,322,189,493.25
  5. Step 5: Solve for x
    x = 34,322,189,493.25/221,462
  6. Step 6: Final answer
    x = 154,980.04

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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.