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Finding the Fourth Proportional to 85,182, 117,551.16 and 47,455.44

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Solution

The fourth proportional to 85,182, 117,551.16 and 47,455.44 is: 65,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,182 : 117,551.16 = 47,455.44 : x
  2. Step 2: Convert to fraction form
    85,182/117,551.16 = 47,455.44/x
  3. Step 3: Cross multiply
    85,182x = 117,551.16 × 47,455.44
  4. Step 4: Simplify right side
    85,182x = 5,578,442,020.31
  5. Step 5: Solve for x
    x = 5,578,442,020.31/85,182
  6. Step 6: Final answer
    x = 65,488.51

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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.