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Finding the Fourth Proportional to 108,706.94, 149,964.51 and 76,893.38

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Solution

The fourth proportional to 108,706.94, 149,964.51 and 76,893.38 is: 106,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,706.94 : 149,964.51 = 76,893.38 : x
  2. Step 2: Convert to fraction form
    108,706.94/149,964.51 = 76,893.38/x
  3. Step 3: Cross multiply
    108,706.94x = 149,964.51 × 76,893.38
  4. Step 4: Simplify right side
    108,706.94x = 11,531,278,053.94
  5. Step 5: Solve for x
    x = 11,531,278,053.94/108,706.94
  6. Step 6: Final answer
    x = 106,076.74

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1.5x scale

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.