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Finding the Fourth Proportional to 85,137.93, 117,485.78 and 47,409.75

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Solution

The fourth proportional to 85,137.93, 117,485.78 and 47,409.75 is: 65,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,137.93 : 117,485.78 = 47,409.75 : x
  2. Step 2: Convert to fraction form
    85,137.93/117,485.78 = 47,409.75/x
  3. Step 3: Cross multiply
    85,137.93x = 117,485.78 × 47,409.75
  4. Step 4: Simplify right side
    85,137.93x = 5,569,971,221.31
  5. Step 5: Solve for x
    x = 5,569,971,221.31/85,137.93
  6. Step 6: Final answer
    x = 65,422.91

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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.