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Finding the Fourth Proportional to 189,442.56, 283,892.64 and 139,128

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Solution

The fourth proportional to 189,442.56, 283,892.64 and 139,128 is: 208,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,442.56 : 283,892.64 = 139,128 : x
  2. Step 2: Convert to fraction form
    189,442.56/283,892.64 = 139,128/x
  3. Step 3: Cross multiply
    189,442.56x = 283,892.64 × 139,128
  4. Step 4: Simplify right side
    189,442.56x = 39,497,415,217.92
  5. Step 5: Solve for x
    x = 39,497,415,217.92/189,442.56
  6. Step 6: Final answer
    x = 208,492.83

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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.