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Finding the Fourth Proportional to 276,028.16, 414,041.78 and 86,503.12

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Solution

The fourth proportional to 276,028.16, 414,041.78 and 86,503.12 is: 129,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,028.16 : 414,041.78 = 86,503.12 : x
  2. Step 2: Convert to fraction form
    276,028.16/414,041.78 = 86,503.12/x
  3. Step 3: Cross multiply
    276,028.16x = 414,041.78 × 86,503.12
  4. Step 4: Simplify right side
    276,028.16x = 35,815,905,780.35
  5. Step 5: Solve for x
    x = 35,815,905,780.35/276,028.16
  6. Step 6: Final answer
    x = 129,754.54

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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.