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Finding the Fourth Proportional to 43,387.40, 65,064.90 and 30,200.60

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Solution

The fourth proportional to 43,387.40, 65,064.90 and 30,200.60 is: 45,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,387.40 : 65,064.90 = 30,200.60 : x
  2. Step 2: Convert to fraction form
    43,387.40/65,064.90 = 30,200.60/x
  3. Step 3: Cross multiply
    43,387.40x = 65,064.90 × 30,200.60
  4. Step 4: Simplify right side
    43,387.40x = 1,964,999,018.94
  5. Step 5: Solve for x
    x = 1,964,999,018.94/43,387.40
  6. Step 6: Final answer
    x = 45,289.62

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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.