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Finding the Fourth Proportional to 189,338.64, 283,737.30 and 139,023.97

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Solution

The fourth proportional to 189,338.64, 283,737.30 and 139,023.97 is: 208,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,338.64 : 283,737.30 = 139,023.97 : x
  2. Step 2: Convert to fraction form
    189,338.64/283,737.30 = 139,023.97/x
  3. Step 3: Cross multiply
    189,338.64x = 283,737.30 × 139,023.97
  4. Step 4: Simplify right side
    189,338.64x = 39,446,285,883.08
  5. Step 5: Solve for x
    x = 39,446,285,883.08/189,338.64
  6. Step 6: Final answer
    x = 208,337.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.