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Finding the Fourth Proportional to 189,333.62, 283,729.80 and 139,018.96

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Solution

The fourth proportional to 189,333.62, 283,729.80 and 139,018.96 is: 208,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,333.62 : 283,729.80 = 139,018.96 : x
  2. Step 2: Convert to fraction form
    189,333.62/283,729.80 = 139,018.96/x
  3. Step 3: Cross multiply
    189,333.62x = 283,729.80 × 139,018.96
  4. Step 4: Simplify right side
    189,333.62x = 39,443,821,717.01
  5. Step 5: Solve for x
    x = 39,443,821,717.01/189,333.62
  6. Step 6: Final answer
    x = 208,329.73

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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.