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Finding the Fourth Proportional to 200,966.42, 277,333.79 and 120,440.68

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Solution

The fourth proportional to 200,966.42, 277,333.79 and 120,440.68 is: 166,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,966.42 : 277,333.79 = 120,440.68 : x
  2. Step 2: Convert to fraction form
    200,966.42/277,333.79 = 120,440.68/x
  3. Step 3: Cross multiply
    200,966.42x = 277,333.79 × 120,440.68
  4. Step 4: Simplify right side
    200,966.42x = 33,402,268,959.04
  5. Step 5: Solve for x
    x = 33,402,268,959.04/200,966.42
  6. Step 6: Final answer
    x = 166,208.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.