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Finding the Fourth Proportional to 68,277.20, 102,319.80 and 54,261.20

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Solution

The fourth proportional to 68,277.20, 102,319.80 and 54,261.20 is: 81,315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,277.20 : 102,319.80 = 54,261.20 : x
  2. Step 2: Convert to fraction form
    68,277.20/102,319.80 = 54,261.20/x
  3. Step 3: Cross multiply
    68,277.20x = 102,319.80 × 54,261.20
  4. Step 4: Simplify right side
    68,277.20x = 5,551,995,131.76
  5. Step 5: Solve for x
    x = 5,551,995,131.76/68,277.20
  6. Step 6: Final answer
    x = 81,315.51

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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.