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Finding the Fourth Proportional to 47,415.54, 71,073.90 and 19,323.40

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Solution

The fourth proportional to 47,415.54, 71,073.90 and 19,323.40 is: 28,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,415.54 : 71,073.90 = 19,323.40 : x
  2. Step 2: Convert to fraction form
    47,415.54/71,073.90 = 19,323.40/x
  3. Step 3: Cross multiply
    47,415.54x = 71,073.90 × 19,323.40
  4. Step 4: Simplify right side
    47,415.54x = 1,373,389,399.26
  5. Step 5: Solve for x
    x = 1,373,389,399.26/47,415.54
  6. Step 6: Final answer
    x = 28,964.96

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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.