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Finding the Fourth Proportional to 189,351.82, 283,757.08 and 139,037.14

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Solution

The fourth proportional to 189,351.82, 283,757.08 and 139,037.14 is: 208,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,351.82 : 283,757.08 = 139,037.14 : x
  2. Step 2: Convert to fraction form
    189,351.82/283,757.08 = 139,037.14/x
  3. Step 3: Cross multiply
    189,351.82x = 283,757.08 × 139,037.14
  4. Step 4: Simplify right side
    189,351.82x = 39,452,772,857.95
  5. Step 5: Solve for x
    x = 39,452,772,857.95/189,351.82
  6. Step 6: Final answer
    x = 208,356.98

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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.