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Finding the Fourth Proportional to 276,765.33, 415,148.40 and 77,086.29

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Solution

The fourth proportional to 276,765.33, 415,148.40 and 77,086.29 is: 115,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,765.33 : 415,148.40 = 77,086.29 : x
  2. Step 2: Convert to fraction form
    276,765.33/415,148.40 = 77,086.29/x
  3. Step 3: Cross multiply
    276,765.33x = 415,148.40 × 77,086.29
  4. Step 4: Simplify right side
    276,765.33x = 32,002,249,955.44
  5. Step 5: Solve for x
    x = 32,002,249,955.44/276,765.33
  6. Step 6: Final answer
    x = 115,629.55

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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.