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Finding the Fourth Proportional to 201,975.28, 278,680.98 and 115,929

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Solution

The fourth proportional to 201,975.28, 278,680.98 and 115,929 is: 159,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,975.28 : 278,680.98 = 115,929 : x
  2. Step 2: Convert to fraction form
    201,975.28/278,680.98 = 115,929/x
  3. Step 3: Cross multiply
    201,975.28x = 278,680.98 × 115,929
  4. Step 4: Simplify right side
    201,975.28x = 32,307,207,330.42
  5. Step 5: Solve for x
    x = 32,307,207,330.42/201,975.28
  6. Step 6: Final answer
    x = 159,956.24

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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.