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Finding the Fourth Proportional to 201,038.82, 300,804.51 and 119,688.29

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Solution

The fourth proportional to 201,038.82, 300,804.51 and 119,688.29 is: 179,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,038.82 : 300,804.51 = 119,688.29 : x
  2. Step 2: Convert to fraction form
    201,038.82/300,804.51 = 119,688.29/x
  3. Step 3: Cross multiply
    201,038.82x = 300,804.51 × 119,688.29
  4. Step 4: Simplify right side
    201,038.82x = 36,002,777,426.19
  5. Step 5: Solve for x
    x = 36,002,777,426.19/201,038.82
  6. Step 6: Final answer
    x = 179,083.71

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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.