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Finding the Fourth Proportional to 189,269.56, 283,313.80 and 139,405.96

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Solution

The fourth proportional to 189,269.56, 283,313.80 and 139,405.96 is: 208,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,269.56 : 283,313.80 = 139,405.96 : x
  2. Step 2: Convert to fraction form
    189,269.56/283,313.80 = 139,405.96/x
  3. Step 3: Cross multiply
    189,269.56x = 283,313.80 × 139,405.96
  4. Step 4: Simplify right side
    189,269.56x = 39,495,632,270.25
  5. Step 5: Solve for x
    x = 39,495,632,270.25/189,269.56
  6. Step 6: Final answer
    x = 208,673.98

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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.