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Finding the Fourth Proportional to 78,761.98, 118,011.44 and 55,346.50

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Solution

The fourth proportional to 78,761.98, 118,011.44 and 55,346.50 is: 82,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,761.98 : 118,011.44 = 55,346.50 : x
  2. Step 2: Convert to fraction form
    78,761.98/118,011.44 = 55,346.50/x
  3. Step 3: Cross multiply
    78,761.98x = 118,011.44 × 55,346.50
  4. Step 4: Simplify right side
    78,761.98x = 6,531,520,163.96
  5. Step 5: Solve for x
    x = 6,531,520,163.96/78,761.98
  6. Step 6: Final answer
    x = 82,927.32

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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.