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Finding the Fourth Proportional to 85,614.75, 118,148.49 and 47,889

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Solution

The fourth proportional to 85,614.75, 118,148.49 and 47,889 is: 66,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,614.75 : 118,148.49 = 47,889 : x
  2. Step 2: Convert to fraction form
    85,614.75/118,148.49 = 47,889/x
  3. Step 3: Cross multiply
    85,614.75x = 118,148.49 × 47,889
  4. Step 4: Simplify right side
    85,614.75x = 5,658,013,037.61
  5. Step 5: Solve for x
    x = 5,658,013,037.61/85,614.75
  6. Step 6: Final answer
    x = 66,086.90

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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.