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Finding the Fourth Proportional to 200,776.15, 277,079.78 and 120,188.08

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Solution

The fourth proportional to 200,776.15, 277,079.78 and 120,188.08 is: 165,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,776.15 : 277,079.78 = 120,188.08 : x
  2. Step 2: Convert to fraction form
    200,776.15/277,079.78 = 120,188.08/x
  3. Step 3: Cross multiply
    200,776.15x = 277,079.78 × 120,188.08
  4. Step 4: Simplify right side
    200,776.15x = 33,301,686,164.08
  5. Step 5: Solve for x
    x = 33,301,686,164.08/200,776.15
  6. Step 6: Final answer
    x = 165,864.75

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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.