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Finding the Fourth Proportional to 108,396, 149,502.60 and 82,838.88

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Solution

The fourth proportional to 108,396, 149,502.60 and 82,838.88 is: 114,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,396 : 149,502.60 = 82,838.88 : x
  2. Step 2: Convert to fraction form
    108,396/149,502.60 = 82,838.88/x
  3. Step 3: Cross multiply
    108,396x = 149,502.60 × 82,838.88
  4. Step 4: Simplify right side
    108,396x = 12,384,627,941.09
  5. Step 5: Solve for x
    x = 12,384,627,941.09/108,396
  6. Step 6: Final answer
    x = 114,253.55

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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.