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Finding the Fourth Proportional to 47,422.80, 71,137.80 and 14,140.26

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Solution

The fourth proportional to 47,422.80, 71,137.80 and 14,140.26 is: 21,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,422.80 : 71,137.80 = 14,140.26 : x
  2. Step 2: Convert to fraction form
    47,422.80/71,137.80 = 14,140.26/x
  3. Step 3: Cross multiply
    47,422.80x = 71,137.80 × 14,140.26
  4. Step 4: Simplify right side
    47,422.80x = 1,005,906,987.83
  5. Step 5: Solve for x
    x = 1,005,906,987.83/47,422.80
  6. Step 6: Final answer
    x = 21,211.46

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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.