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Finding the Fourth Proportional to 189,807.31, 261,922.84 and 104,919.31

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Solution

The fourth proportional to 189,807.31, 261,922.84 and 104,919.31 is: 144,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,807.31 : 261,922.84 = 104,919.31 : x
  2. Step 2: Convert to fraction form
    189,807.31/261,922.84 = 104,919.31/x
  3. Step 3: Cross multiply
    189,807.31x = 261,922.84 × 104,919.31
  4. Step 4: Simplify right side
    189,807.31x = 27,480,763,646.04
  5. Step 5: Solve for x
    x = 27,480,763,646.04/189,807.31
  6. Step 6: Final answer
    x = 144,782.43

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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.