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Finding the Fourth Proportional to 128,996.49, 178,010.01 and 71,638.77

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Solution

The fourth proportional to 128,996.49, 178,010.01 and 71,638.77 is: 98,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,996.49 : 178,010.01 = 71,638.77 : x
  2. Step 2: Convert to fraction form
    128,996.49/178,010.01 = 71,638.77/x
  3. Step 3: Cross multiply
    128,996.49x = 178,010.01 × 71,638.77
  4. Step 4: Simplify right side
    128,996.49x = 12,752,418,164.09
  5. Step 5: Solve for x
    x = 12,752,418,164.09/128,996.49
  6. Step 6: Final answer
    x = 98,858.64

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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.