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Finding the Fourth Proportional to 189,063.32, 260,906.13 and 104,180.40

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Solution

The fourth proportional to 189,063.32, 260,906.13 and 104,180.40 is: 143,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,063.32 : 260,906.13 = 104,180.40 : x
  2. Step 2: Convert to fraction form
    189,063.32/260,906.13 = 104,180.40/x
  3. Step 3: Cross multiply
    189,063.32x = 260,906.13 × 104,180.40
  4. Step 4: Simplify right side
    189,063.32x = 27,181,304,985.85
  5. Step 5: Solve for x
    x = 27,181,304,985.85/189,063.32
  6. Step 6: Final answer
    x = 143,768.27

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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.