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Finding the Fourth Proportional to 108,655.40, 162,983.10 and 82,411.40

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Solution

The fourth proportional to 108,655.40, 162,983.10 and 82,411.40 is: 123,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,655.40 : 162,983.10 = 82,411.40 : x
  2. Step 2: Convert to fraction form
    108,655.40/162,983.10 = 82,411.40/x
  3. Step 3: Cross multiply
    108,655.40x = 162,983.10 × 82,411.40
  4. Step 4: Simplify right side
    108,655.40x = 13,431,665,447.34
  5. Step 5: Solve for x
    x = 13,431,665,447.34/108,655.40
  6. Step 6: Final answer
    x = 123,617.10

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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.