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Finding the Fourth Proportional to 200,030, 276,030.06 and 109,369.14

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Solution

The fourth proportional to 200,030, 276,030.06 and 109,369.14 is: 150,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,030 : 276,030.06 = 109,369.14 : x
  2. Step 2: Convert to fraction form
    200,030/276,030.06 = 109,369.14/x
  3. Step 3: Cross multiply
    200,030x = 276,030.06 × 109,369.14
  4. Step 4: Simplify right side
    200,030x = 30,189,170,276.35
  5. Step 5: Solve for x
    x = 30,189,170,276.35/200,030
  6. Step 6: Final answer
    x = 150,923.21

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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.