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Finding the Fourth Proportional to 201,282.71, 277,784.64 and 120,708.77

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Solution

The fourth proportional to 201,282.71, 277,784.64 and 120,708.77 is: 166,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,282.71 : 277,784.64 = 120,708.77 : x
  2. Step 2: Convert to fraction form
    201,282.71/277,784.64 = 120,708.77/x
  3. Step 3: Cross multiply
    201,282.71x = 277,784.64 × 120,708.77
  4. Step 4: Simplify right side
    201,282.71x = 33,531,040,830.37
  5. Step 5: Solve for x
    x = 33,531,040,830.37/201,282.71
  6. Step 6: Final answer
    x = 166,586.80

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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.