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Finding the Fourth Proportional to 189,872.64, 262,017.18 and 104,991.12

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Solution

The fourth proportional to 189,872.64, 262,017.18 and 104,991.12 is: 144,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,872.64 : 262,017.18 = 104,991.12 : x
  2. Step 2: Convert to fraction form
    189,872.64/262,017.18 = 104,991.12/x
  3. Step 3: Cross multiply
    189,872.64x = 262,017.18 × 104,991.12
  4. Step 4: Simplify right side
    189,872.64x = 27,509,477,187.44
  5. Step 5: Solve for x
    x = 27,509,477,187.44/189,872.64
  6. Step 6: Final answer
    x = 144,883.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.