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Finding the Fourth Proportional to 65,980.60, 98,891.57 and 30,393

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Solution

The fourth proportional to 65,980.60, 98,891.57 and 30,393 is: 45,552.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,980.60 : 98,891.57 = 30,393 : x
  2. Step 2: Convert to fraction form
    65,980.60/98,891.57 = 30,393/x
  3. Step 3: Cross multiply
    65,980.60x = 98,891.57 × 30,393
  4. Step 4: Simplify right side
    65,980.60x = 3,005,611,562.99
  5. Step 5: Solve for x
    x = 3,005,611,562.99/65,980.60
  6. Step 6: Final answer
    x = 45,552.96

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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.