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Finding the Fourth Proportional to 200,777.82, 277,060.95 and 120,211.98

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Solution

The fourth proportional to 200,777.82, 277,060.95 and 120,211.98 is: 165,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,777.82 : 277,060.95 = 120,211.98 : x
  2. Step 2: Convert to fraction form
    200,777.82/277,060.95 = 120,211.98/x
  3. Step 3: Cross multiply
    200,777.82x = 277,060.95 × 120,211.98
  4. Step 4: Simplify right side
    200,777.82x = 33,306,045,380.18
  5. Step 5: Solve for x
    x = 33,306,045,380.18/200,777.82
  6. Step 6: Final answer
    x = 165,885.08

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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.