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Finding the Fourth Proportional to 47,496.92, 71,243.96 and 19,409

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Solution

The fourth proportional to 47,496.92, 71,243.96 and 19,409 is: 29,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,496.92 : 71,243.96 = 19,409 : x
  2. Step 2: Convert to fraction form
    47,496.92/71,243.96 = 19,409/x
  3. Step 3: Cross multiply
    47,496.92x = 71,243.96 × 19,409
  4. Step 4: Simplify right side
    47,496.92x = 1,382,774,019.64
  5. Step 5: Solve for x
    x = 1,382,774,019.64/47,496.92
  6. Step 6: Final answer
    x = 29,112.92

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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.