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Finding the Fourth Proportional to 51,655.98, 71,272.10 and 31,511.54

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Solution

The fourth proportional to 51,655.98, 71,272.10 and 31,511.54 is: 43,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,655.98 : 71,272.10 = 31,511.54 : x
  2. Step 2: Convert to fraction form
    51,655.98/71,272.10 = 31,511.54/x
  3. Step 3: Cross multiply
    51,655.98x = 71,272.10 × 31,511.54
  4. Step 4: Simplify right side
    51,655.98x = 2,245,893,630.03
  5. Step 5: Solve for x
    x = 2,245,893,630.03/51,655.98
  6. Step 6: Final answer
    x = 43,477.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.