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Finding the Fourth Proportional to 189,073, 260,919.62 and 103,031.80

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Solution

The fourth proportional to 189,073, 260,919.62 and 103,031.80 is: 142,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,073 : 260,919.62 = 103,031.80 : x
  2. Step 2: Convert to fraction form
    189,073/260,919.62 = 103,031.80/x
  3. Step 3: Cross multiply
    189,073x = 260,919.62 × 103,031.80
  4. Step 4: Simplify right side
    189,073x = 26,883,018,103.92
  5. Step 5: Solve for x
    x = 26,883,018,103.92/189,073
  6. Step 6: Final answer
    x = 142,183.27

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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.