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Finding the Fourth Proportional to 85,302, 117,716.76 and 47,576.28

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Solution

The fourth proportional to 85,302, 117,716.76 and 47,576.28 is: 65,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,302 : 117,716.76 = 47,576.28 : x
  2. Step 2: Convert to fraction form
    85,302/117,716.76 = 47,576.28/x
  3. Step 3: Cross multiply
    85,302x = 117,716.76 × 47,576.28
  4. Step 4: Simplify right side
    85,302x = 5,600,525,534.45
  5. Step 5: Solve for x
    x = 5,600,525,534.45/85,302
  6. Step 6: Final answer
    x = 65,655.27

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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.