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Finding the Fourth Proportional to 85,415.98, 117,874.94 and 47,176.50

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Solution

The fourth proportional to 85,415.98, 117,874.94 and 47,176.50 is: 65,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,415.98 : 117,874.94 = 47,176.50 : x
  2. Step 2: Convert to fraction form
    85,415.98/117,874.94 = 47,176.50/x
  3. Step 3: Cross multiply
    85,415.98x = 117,874.94 × 47,176.50
  4. Step 4: Simplify right side
    85,415.98x = 5,560,927,106.91
  5. Step 5: Solve for x
    x = 5,560,927,106.91/85,415.98
  6. Step 6: Final answer
    x = 65,104.06

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Why These Related Problems?

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