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Finding the Fourth Proportional to 200,894.64, 277,215.66 and 120,320.70

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Solution

The fourth proportional to 200,894.64, 277,215.66 and 120,320.70 is: 166,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,894.64 : 277,215.66 = 120,320.70 : x
  2. Step 2: Convert to fraction form
    200,894.64/277,215.66 = 120,320.70/x
  3. Step 3: Cross multiply
    200,894.64x = 277,215.66 × 120,320.70
  4. Step 4: Simplify right side
    200,894.64x = 33,354,782,262.16
  5. Step 5: Solve for x
    x = 33,354,782,262.16/200,894.64
  6. Step 6: Final answer
    x = 166,031.22

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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.