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Finding the Fourth Proportional to 169,855.80, 254,978.10 and 99,774.60

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Solution

The fourth proportional to 169,855.80, 254,978.10 and 99,774.60 is: 149,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,855.80 : 254,978.10 = 99,774.60 : x
  2. Step 2: Convert to fraction form
    169,855.80/254,978.10 = 99,774.60/x
  3. Step 3: Cross multiply
    169,855.80x = 254,978.10 × 99,774.60
  4. Step 4: Simplify right side
    169,855.80x = 25,440,337,936.26
  5. Step 5: Solve for x
    x = 25,440,337,936.26/169,855.80
  6. Step 6: Final answer
    x = 149,776.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.