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Finding the Fourth Proportional to 85,224.32, 117,517.20 and 58,018

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Solution

The fourth proportional to 85,224.32, 117,517.20 and 58,018 is: 80,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,224.32 : 117,517.20 = 58,018 : x
  2. Step 2: Convert to fraction form
    85,224.32/117,517.20 = 58,018/x
  3. Step 3: Cross multiply
    85,224.32x = 117,517.20 × 58,018
  4. Step 4: Simplify right side
    85,224.32x = 6,818,112,909.60
  5. Step 5: Solve for x
    x = 6,818,112,909.60/85,224.32
  6. Step 6: Final answer
    x = 80,001.96

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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.