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Finding the Fourth Proportional to 108,464.64, 149,671.68 and 63,744

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Solution

The fourth proportional to 108,464.64, 149,671.68 and 63,744 is: 87,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,464.64 : 149,671.68 = 63,744 : x
  2. Step 2: Convert to fraction form
    108,464.64/149,671.68 = 63,744/x
  3. Step 3: Cross multiply
    108,464.64x = 149,671.68 × 63,744
  4. Step 4: Simplify right side
    108,464.64x = 9,540,671,569.92
  5. Step 5: Solve for x
    x = 9,540,671,569.92/108,464.64
  6. Step 6: Final answer
    x = 87,961.12

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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.