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Finding the Fourth Proportional to 201,252.69, 277,722.85 and 115,208.77

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Solution

The fourth proportional to 201,252.69, 277,722.85 and 115,208.77 is: 158,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,252.69 : 277,722.85 = 115,208.77 : x
  2. Step 2: Convert to fraction form
    201,252.69/277,722.85 = 115,208.77/x
  3. Step 3: Cross multiply
    201,252.69x = 277,722.85 × 115,208.77
  4. Step 4: Simplify right side
    201,252.69x = 31,996,106,848.80
  5. Step 5: Solve for x
    x = 31,996,106,848.80/201,252.69
  6. Step 6: Final answer
    x = 158,984.75

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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.