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Finding the Fourth Proportional to 85,514.88, 128,140.96 and 52,185

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Solution

The fourth proportional to 85,514.88, 128,140.96 and 52,185 is: 78,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,514.88 : 128,140.96 = 52,185 : x
  2. Step 2: Convert to fraction form
    85,514.88/128,140.96 = 52,185/x
  3. Step 3: Cross multiply
    85,514.88x = 128,140.96 × 52,185
  4. Step 4: Simplify right side
    85,514.88x = 6,687,035,997.60
  5. Step 5: Solve for x
    x = 6,687,035,997.60/85,514.88
  6. Step 6: Final answer
    x = 78,197.34

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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.