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Finding the Fourth Proportional to 85,878.10, 118,525.96 and 47,649.95

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Solution

The fourth proportional to 85,878.10, 118,525.96 and 47,649.95 is: 65,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,878.10 : 118,525.96 = 47,649.95 : x
  2. Step 2: Convert to fraction form
    85,878.10/118,525.96 = 47,649.95/x
  3. Step 3: Cross multiply
    85,878.10x = 118,525.96 × 47,649.95
  4. Step 4: Simplify right side
    85,878.10x = 5,647,755,800.42
  5. Step 5: Solve for x
    x = 5,647,755,800.42/85,878.10
  6. Step 6: Final answer
    x = 65,764.80

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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.