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Finding the Fourth Proportional to 65,658.60, 98,519.90 and 30,580.20

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Solution

The fourth proportional to 65,658.60, 98,519.90 and 30,580.20 is: 45,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,658.60 : 98,519.90 = 30,580.20 : x
  2. Step 2: Convert to fraction form
    65,658.60/98,519.90 = 30,580.20/x
  3. Step 3: Cross multiply
    65,658.60x = 98,519.90 × 30,580.20
  4. Step 4: Simplify right side
    65,658.60x = 3,012,758,245.98
  5. Step 5: Solve for x
    x = 3,012,758,245.98/65,658.60
  6. Step 6: Final answer
    x = 45,885.20

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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.