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Finding the Fourth Proportional to 86,765.76, 119,742.84 and 49,040.28

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Solution

The fourth proportional to 86,765.76, 119,742.84 and 49,040.28 is: 67,679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,765.76 : 119,742.84 = 49,040.28 : x
  2. Step 2: Convert to fraction form
    86,765.76/119,742.84 = 49,040.28/x
  3. Step 3: Cross multiply
    86,765.76x = 119,742.84 × 49,040.28
  4. Step 4: Simplify right side
    86,765.76x = 5,872,222,401.60
  5. Step 5: Solve for x
    x = 5,872,222,401.60/86,765.76
  6. Step 6: Final answer
    x = 67,679.03

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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.