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Finding the Fourth Proportional to 43,385.20, 65,114.65 and 30,935.70

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Solution

The fourth proportional to 43,385.20, 65,114.65 and 30,935.70 is: 46,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,385.20 : 65,114.65 = 30,935.70 : x
  2. Step 2: Convert to fraction form
    43,385.20/65,114.65 = 30,935.70/x
  3. Step 3: Cross multiply
    43,385.20x = 65,114.65 × 30,935.70
  4. Step 4: Simplify right side
    43,385.20x = 2,014,367,278.01
  5. Step 5: Solve for x
    x = 2,014,367,278.01/43,385.20
  6. Step 6: Final answer
    x = 46,429.83

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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.