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Finding the Fourth Proportional to 99,410.40, 149,000.40 and 40,216.80

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Solution

The fourth proportional to 99,410.40, 149,000.40 and 40,216.80 is: 60,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,410.40 : 149,000.40 = 40,216.80 : x
  2. Step 2: Convert to fraction form
    99,410.40/149,000.40 = 40,216.80/x
  3. Step 3: Cross multiply
    99,410.40x = 149,000.40 × 40,216.80
  4. Step 4: Simplify right side
    99,410.40x = 5,992,319,286.72
  5. Step 5: Solve for x
    x = 5,992,319,286.72/99,410.40
  6. Step 6: Final answer
    x = 60,278.60

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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.