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Finding the Fourth Proportional to 200,781.70, 277,032.28 and 120,178.60

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Solution

The fourth proportional to 200,781.70, 277,032.28 and 120,178.60 is: 165,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,781.70 : 277,032.28 = 120,178.60 : x
  2. Step 2: Convert to fraction form
    200,781.70/277,032.28 = 120,178.60/x
  3. Step 3: Cross multiply
    200,781.70x = 277,032.28 × 120,178.60
  4. Step 4: Simplify right side
    200,781.70x = 33,293,351,565.21
  5. Step 5: Solve for x
    x = 33,293,351,565.21/200,781.70
  6. Step 6: Final answer
    x = 165,818.66

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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.