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Finding the Fourth Proportional to 200,886.83, 277,203.64 and 120,312.29

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Solution

The fourth proportional to 200,886.83, 277,203.64 and 120,312.29 is: 166,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,886.83 : 277,203.64 = 120,312.29 : x
  2. Step 2: Convert to fraction form
    200,886.83/277,203.64 = 120,312.29/x
  3. Step 3: Cross multiply
    200,886.83x = 277,203.64 × 120,312.29
  4. Step 4: Simplify right side
    200,886.83x = 33,351,004,724.74
  5. Step 5: Solve for x
    x = 33,351,004,724.74/200,886.83
  6. Step 6: Final answer
    x = 166,018.87

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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.