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Finding the Fourth Proportional to 201,870.57, 278,581.65 and 109,989.42

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Solution

The fourth proportional to 201,870.57, 278,581.65 and 109,989.42 is: 151,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,870.57 : 278,581.65 = 109,989.42 : x
  2. Step 2: Convert to fraction form
    201,870.57/278,581.65 = 109,989.42/x
  3. Step 3: Cross multiply
    201,870.57x = 278,581.65 × 109,989.42
  4. Step 4: Simplify right side
    201,870.57x = 30,641,034,106.14
  5. Step 5: Solve for x
    x = 30,641,034,106.14/201,870.57
  6. Step 6: Final answer
    x = 151,785.54

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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.