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Finding the Fourth Proportional to 57,680.40, 86,520.60 and 51,459.60

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Solution

The fourth proportional to 57,680.40, 86,520.60 and 51,459.60 is: 77,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,680.40 : 86,520.60 = 51,459.60 : x
  2. Step 2: Convert to fraction form
    57,680.40/86,520.60 = 51,459.60/x
  3. Step 3: Cross multiply
    57,680.40x = 86,520.60 × 51,459.60
  4. Step 4: Simplify right side
    57,680.40x = 4,452,315,467.76
  5. Step 5: Solve for x
    x = 4,452,315,467.76/57,680.40
  6. Step 6: Final answer
    x = 77,189.40

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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.