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Finding the Fourth Proportional to 189,108.98, 260,972.21 and 104,229.30

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Solution

The fourth proportional to 189,108.98, 260,972.21 and 104,229.30 is: 143,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,108.98 : 260,972.21 = 104,229.30 : x
  2. Step 2: Convert to fraction form
    189,108.98/260,972.21 = 104,229.30/x
  3. Step 3: Cross multiply
    189,108.98x = 260,972.21 × 104,229.30
  4. Step 4: Simplify right side
    189,108.98x = 27,200,950,767.75
  5. Step 5: Solve for x
    x = 27,200,950,767.75/189,108.98
  6. Step 6: Final answer
    x = 143,837.44

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1.5x scale

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.