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Finding the Fourth Proportional to 85,709.82, 118,291.95 and 47,986.50

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Solution

The fourth proportional to 85,709.82, 118,291.95 and 47,986.50 is: 66,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,709.82 : 118,291.95 = 47,986.50 : x
  2. Step 2: Convert to fraction form
    85,709.82/118,291.95 = 47,986.50/x
  3. Step 3: Cross multiply
    85,709.82x = 118,291.95 × 47,986.50
  4. Step 4: Simplify right side
    85,709.82x = 5,676,416,658.68
  5. Step 5: Solve for x
    x = 5,676,416,658.68/85,709.82
  6. Step 6: Final answer
    x = 66,228.31

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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.