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Finding the Fourth Proportional to 192,033.81, 287,329.01 and 181,908

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Solution

The fourth proportional to 192,033.81, 287,329.01 and 181,908 is: 272,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,033.81 : 287,329.01 = 181,908 : x
  2. Step 2: Convert to fraction form
    192,033.81/287,329.01 = 181,908/x
  3. Step 3: Cross multiply
    192,033.81x = 287,329.01 × 181,908
  4. Step 4: Simplify right side
    192,033.81x = 52,267,444,641.54
  5. Step 5: Solve for x
    x = 52,267,444,641.54/192,033.81
  6. Step 6: Final answer
    x = 272,178.35

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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.