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Finding the Fourth Proportional to 200,878.08, 277,220.16 and 120,289.92

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Solution

The fourth proportional to 200,878.08, 277,220.16 and 120,289.92 is: 166,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,878.08 : 277,220.16 = 120,289.92 : x
  2. Step 2: Convert to fraction form
    200,878.08/277,220.16 = 120,289.92/x
  3. Step 3: Cross multiply
    200,878.08x = 277,220.16 × 120,289.92
  4. Step 4: Simplify right side
    200,878.08x = 33,346,790,868.79
  5. Step 5: Solve for x
    x = 33,346,790,868.79/200,878.08
  6. Step 6: Final answer
    x = 166,005.13

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1.5x scale

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.