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Finding the Fourth Proportional to 189,894.54, 262,016.56 and 104,995.20

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Solution

The fourth proportional to 189,894.54, 262,016.56 and 104,995.20 is: 144,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,894.54 : 262,016.56 = 104,995.20 : x
  2. Step 2: Convert to fraction form
    189,894.54/262,016.56 = 104,995.20/x
  3. Step 3: Cross multiply
    189,894.54x = 262,016.56 × 104,995.20
  4. Step 4: Simplify right side
    189,894.54x = 27,510,480,595.54
  5. Step 5: Solve for x
    x = 27,510,480,595.54/189,894.54
  6. Step 6: Final answer
    x = 144,872.41

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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.