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Finding the Fourth Proportional to 200,726.40, 301,016.70 and 100,853.40

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Solution

The fourth proportional to 200,726.40, 301,016.70 and 100,853.40 is: 151,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,726.40 : 301,016.70 = 100,853.40 : x
  2. Step 2: Convert to fraction form
    200,726.40/301,016.70 = 100,853.40/x
  3. Step 3: Cross multiply
    200,726.40x = 301,016.70 × 100,853.40
  4. Step 4: Simplify right side
    200,726.40x = 30,358,557,651.78
  5. Step 5: Solve for x
    x = 30,358,557,651.78/200,726.40
  6. Step 6: Final answer
    x = 151,243.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.