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Finding the Fourth Proportional to 201,843.38, 278,543.86 and 117,009.65

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Solution

The fourth proportional to 201,843.38, 278,543.86 and 117,009.65 is: 161,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,843.38 : 278,543.86 = 117,009.65 : x
  2. Step 2: Convert to fraction form
    201,843.38/278,543.86 = 117,009.65/x
  3. Step 3: Cross multiply
    201,843.38x = 278,543.86 × 117,009.65
  4. Step 4: Simplify right side
    201,843.38x = 32,592,319,568.25
  5. Step 5: Solve for x
    x = 32,592,319,568.25/201,843.38
  6. Step 6: Final answer
    x = 161,473.31

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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.