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Finding the Fourth Proportional to 135,987.70, 204,054.45 and 57,109.90

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Solution

The fourth proportional to 135,987.70, 204,054.45 and 57,109.90 is: 85,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,987.70 : 204,054.45 = 57,109.90 : x
  2. Step 2: Convert to fraction form
    135,987.70/204,054.45 = 57,109.90/x
  3. Step 3: Cross multiply
    135,987.70x = 204,054.45 × 57,109.90
  4. Step 4: Simplify right side
    135,987.70x = 11,653,529,234.06
  5. Step 5: Solve for x
    x = 11,653,529,234.06/135,987.70
  6. Step 6: Final answer
    x = 85,695.47

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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.