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Finding the Fourth Proportional to 85,431.76, 117,895.36 and 47,193.94

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Solution

The fourth proportional to 85,431.76, 117,895.36 and 47,193.94 is: 65,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,431.76 : 117,895.36 = 47,193.94 : x
  2. Step 2: Convert to fraction form
    85,431.76/117,895.36 = 47,193.94/x
  3. Step 3: Cross multiply
    85,431.76x = 117,895.36 × 47,193.94
  4. Step 4: Simplify right side
    85,431.76x = 5,563,946,546.12
  5. Step 5: Solve for x
    x = 5,563,946,546.12/85,431.76
  6. Step 6: Final answer
    x = 65,127.38

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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.