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Finding the Fourth Proportional to 200,780.70, 277,030.90 and 120,177.60

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Solution

The fourth proportional to 200,780.70, 277,030.90 and 120,177.60 is: 165,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,780.70 : 277,030.90 = 120,177.60 : x
  2. Step 2: Convert to fraction form
    200,780.70/277,030.90 = 120,177.60/x
  3. Step 3: Cross multiply
    200,780.70x = 277,030.90 × 120,177.60
  4. Step 4: Simplify right side
    200,780.70x = 33,292,908,687.84
  5. Step 5: Solve for x
    x = 33,292,908,687.84/200,780.70
  6. Step 6: Final answer
    x = 165,817.28

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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.