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Finding the Fourth Proportional to 30,198, 45,305.04 and 10,476.53

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Solution

The fourth proportional to 30,198, 45,305.04 and 10,476.53 is: 15,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198 : 45,305.04 = 10,476.53 : x
  2. Step 2: Convert to fraction form
    30,198/45,305.04 = 10,476.53/x
  3. Step 3: Cross multiply
    30,198x = 45,305.04 × 10,476.53
  4. Step 4: Simplify right side
    30,198x = 474,639,384.19
  5. Step 5: Solve for x
    x = 474,639,384.19/30,198
  6. Step 6: Final answer
    x = 15,717.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.