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Finding the Fourth Proportional to 85,286.34, 117,743.28 and 59,139.54

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Solution

The fourth proportional to 85,286.34, 117,743.28 and 59,139.54 is: 81,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,286.34 : 117,743.28 = 59,139.54 : x
  2. Step 2: Convert to fraction form
    85,286.34/117,743.28 = 59,139.54/x
  3. Step 3: Cross multiply
    85,286.34x = 117,743.28 × 59,139.54
  4. Step 4: Simplify right side
    85,286.34x = 6,963,283,417.29
  5. Step 5: Solve for x
    x = 6,963,283,417.29/85,286.34
  6. Step 6: Final answer
    x = 81,645.94

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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.