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Finding the Fourth Proportional to 85,878.70, 118,512.93 and 47,641.78

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Solution

The fourth proportional to 85,878.70, 118,512.93 and 47,641.78 is: 65,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,878.70 : 118,512.93 = 47,641.78 : x
  2. Step 2: Convert to fraction form
    85,878.70/118,512.93 = 47,641.78/x
  3. Step 3: Cross multiply
    85,878.70x = 118,512.93 × 47,641.78
  4. Step 4: Simplify right side
    85,878.70x = 5,646,166,938.22
  5. Step 5: Solve for x
    x = 5,646,166,938.22/85,878.70
  6. Step 6: Final answer
    x = 65,745.84

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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.