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Finding the Fourth Proportional to 200,855.84, 277,205.66 and 115,972.72

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Solution

The fourth proportional to 200,855.84, 277,205.66 and 115,972.72 is: 160,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,855.84 : 277,205.66 = 115,972.72 : x
  2. Step 2: Convert to fraction form
    200,855.84/277,205.66 = 115,972.72/x
  3. Step 3: Cross multiply
    200,855.84x = 277,205.66 × 115,972.72
  4. Step 4: Simplify right side
    200,855.84x = 32,148,294,389.60
  5. Step 5: Solve for x
    x = 32,148,294,389.60/200,855.84
  6. Step 6: Final answer
    x = 160,056.56

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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.