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Finding the Fourth Proportional to 108,643.58, 163,214.88 and 76,696.10

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Solution

The fourth proportional to 108,643.58, 163,214.88 and 76,696.10 is: 115,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,643.58 : 163,214.88 = 76,696.10 : x
  2. Step 2: Convert to fraction form
    108,643.58/163,214.88 = 76,696.10/x
  3. Step 3: Cross multiply
    108,643.58x = 163,214.88 × 76,696.10
  4. Step 4: Simplify right side
    108,643.58x = 12,517,944,757.97
  5. Step 5: Solve for x
    x = 12,517,944,757.97/108,643.58
  6. Step 6: Final answer
    x = 115,220.29

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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.