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Finding the Fourth Proportional to 108,643.10, 162,964.65 and 61,403.90

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Solution

The fourth proportional to 108,643.10, 162,964.65 and 61,403.90 is: 92,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,643.10 : 162,964.65 = 61,403.90 : x
  2. Step 2: Convert to fraction form
    108,643.10/162,964.65 = 61,403.90/x
  3. Step 3: Cross multiply
    108,643.10x = 162,964.65 × 61,403.90
  4. Step 4: Simplify right side
    108,643.10x = 10,006,665,072.14
  5. Step 5: Solve for x
    x = 10,006,665,072.14/108,643.10
  6. Step 6: Final answer
    x = 92,105.85

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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.