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Finding the Fourth Proportional to 98,554.54, 135,845.49 and 77,006.62

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Solution

The fourth proportional to 98,554.54, 135,845.49 and 77,006.62 is: 106,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,554.54 : 135,845.49 = 77,006.62 : x
  2. Step 2: Convert to fraction form
    98,554.54/135,845.49 = 77,006.62/x
  3. Step 3: Cross multiply
    98,554.54x = 135,845.49 × 77,006.62
  4. Step 4: Simplify right side
    98,554.54x = 10,461,002,027.14
  5. Step 5: Solve for x
    x = 10,461,002,027.14/98,554.54
  6. Step 6: Final answer
    x = 106,144.29

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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.