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Finding the Fourth Proportional to 201,958.32, 278,703.81 and 115,894.35

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Solution

The fourth proportional to 201,958.32, 278,703.81 and 115,894.35 is: 159,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,958.32 : 278,703.81 = 115,894.35 : x
  2. Step 2: Convert to fraction form
    201,958.32/278,703.81 = 115,894.35/x
  3. Step 3: Cross multiply
    201,958.32x = 278,703.81 × 115,894.35
  4. Step 4: Simplify right side
    201,958.32x = 32,300,196,902.47
  5. Step 5: Solve for x
    x = 32,300,196,902.47/201,958.32
  6. Step 6: Final answer
    x = 159,934.97

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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.