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Finding the Fourth Proportional to 85,584.96, 118,108.80 and 47,858.40

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Solution

The fourth proportional to 85,584.96, 118,108.80 and 47,858.40 is: 66,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,584.96 : 118,108.80 = 47,858.40 : x
  2. Step 2: Convert to fraction form
    85,584.96/118,108.80 = 47,858.40/x
  3. Step 3: Cross multiply
    85,584.96x = 118,108.80 × 47,858.40
  4. Step 4: Simplify right side
    85,584.96x = 5,652,498,193.92
  5. Step 5: Solve for x
    x = 5,652,498,193.92/85,584.96
  6. Step 6: Final answer
    x = 66,045.46

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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.