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Finding the Fourth Proportional to 86,538, 119,435.40 and 53,023.44

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Solution

The fourth proportional to 86,538, 119,435.40 and 53,023.44 is: 73,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,538 : 119,435.40 = 53,023.44 : x
  2. Step 2: Convert to fraction form
    86,538/119,435.40 = 53,023.44/x
  3. Step 3: Cross multiply
    86,538x = 119,435.40 × 53,023.44
  4. Step 4: Simplify right side
    86,538x = 6,332,875,765.78
  5. Step 5: Solve for x
    x = 6,332,875,765.78/86,538
  6. Step 6: Final answer
    x = 73,180.29

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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.