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Finding the Fourth Proportional to 85,912.25, 118,549.37 and 47,670.53

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Solution

The fourth proportional to 85,912.25, 118,549.37 and 47,670.53 is: 65,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,912.25 : 118,549.37 = 47,670.53 : x
  2. Step 2: Convert to fraction form
    85,912.25/118,549.37 = 47,670.53/x
  3. Step 3: Cross multiply
    85,912.25x = 118,549.37 × 47,670.53
  4. Step 4: Simplify right side
    85,912.25x = 5,651,310,825.50
  5. Step 5: Solve for x
    x = 5,651,310,825.50/85,912.25
  6. Step 6: Final answer
    x = 65,780.04

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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.