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Finding the Fourth Proportional to 140,636.31, 194,070.65 and 76,961.80

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Solution

The fourth proportional to 140,636.31, 194,070.65 and 76,961.80 is: 106,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,636.31 : 194,070.65 = 76,961.80 : x
  2. Step 2: Convert to fraction form
    140,636.31/194,070.65 = 76,961.80/x
  3. Step 3: Cross multiply
    140,636.31x = 194,070.65 × 76,961.80
  4. Step 4: Simplify right side
    140,636.31x = 14,936,026,551.17
  5. Step 5: Solve for x
    x = 14,936,026,551.17/140,636.31
  6. Step 6: Final answer
    x = 106,203.20

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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.