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Finding the Fourth Proportional to 276,042.95, 414,064.60 and 86,518.10

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Solution

The fourth proportional to 276,042.95, 414,064.60 and 86,518.10 is: 129,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,042.95 : 414,064.60 = 86,518.10 : x
  2. Step 2: Convert to fraction form
    276,042.95/414,064.60 = 86,518.10/x
  3. Step 3: Cross multiply
    276,042.95x = 414,064.60 × 86,518.10
  4. Step 4: Simplify right side
    276,042.95x = 35,824,082,469.26
  5. Step 5: Solve for x
    x = 35,824,082,469.26/276,042.95
  6. Step 6: Final answer
    x = 129,777.20

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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.