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Finding the Fourth Proportional to 47,665.14, 71,484 and 19,202

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Solution

The fourth proportional to 47,665.14, 71,484 and 19,202 is: 28,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,665.14 : 71,484 = 19,202 : x
  2. Step 2: Convert to fraction form
    47,665.14/71,484 = 19,202/x
  3. Step 3: Cross multiply
    47,665.14x = 71,484 × 19,202
  4. Step 4: Simplify right side
    47,665.14x = 1,372,635,768
  5. Step 5: Solve for x
    x = 1,372,635,768/47,665.14
  6. Step 6: Final answer
    x = 28,797.48

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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.