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Finding the Fourth Proportional to 57,277.19, 85,978.63 and 45,506.62

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Solution

The fourth proportional to 57,277.19, 85,978.63 and 45,506.62 is: 68,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,277.19 : 85,978.63 = 45,506.62 : x
  2. Step 2: Convert to fraction form
    57,277.19/85,978.63 = 45,506.62/x
  3. Step 3: Cross multiply
    57,277.19x = 85,978.63 × 45,506.62
  4. Step 4: Simplify right side
    57,277.19x = 3,912,596,843.53
  5. Step 5: Solve for x
    x = 3,912,596,843.53/57,277.19
  6. Step 6: Final answer
    x = 68,309.86

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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.