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Finding the Fourth Proportional to 108,578.31, 162,863.21 and 45,382.11

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Solution

The fourth proportional to 108,578.31, 162,863.21 and 45,382.11 is: 68,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,578.31 : 162,863.21 = 45,382.11 : x
  2. Step 2: Convert to fraction form
    108,578.31/162,863.21 = 45,382.11/x
  3. Step 3: Cross multiply
    108,578.31x = 162,863.21 × 45,382.11
  4. Step 4: Simplify right side
    108,578.31x = 7,391,075,884.26
  5. Step 5: Solve for x
    x = 7,391,075,884.26/108,578.31
  6. Step 6: Final answer
    x = 68,071.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.