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Finding the Fourth Proportional to 85,306.56, 117,725.58 and 47,580

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Solution

The fourth proportional to 85,306.56, 117,725.58 and 47,580 is: 65,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,306.56 : 117,725.58 = 47,580 : x
  2. Step 2: Convert to fraction form
    85,306.56/117,725.58 = 47,580/x
  3. Step 3: Cross multiply
    85,306.56x = 117,725.58 × 47,580
  4. Step 4: Simplify right side
    85,306.56x = 5,601,383,096.40
  5. Step 5: Solve for x
    x = 5,601,383,096.40/85,306.56
  6. Step 6: Final answer
    x = 65,661.81

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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.