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Finding the Fourth Proportional to 43,470.52, 65,203.53 and 12,305.86

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Solution

The fourth proportional to 43,470.52, 65,203.53 and 12,305.86 is: 18,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,470.52 : 65,203.53 = 12,305.86 : x
  2. Step 2: Convert to fraction form
    43,470.52/65,203.53 = 12,305.86/x
  3. Step 3: Cross multiply
    43,470.52x = 65,203.53 × 12,305.86
  4. Step 4: Simplify right side
    43,470.52x = 802,385,511.69
  5. Step 5: Solve for x
    x = 802,385,511.69/43,470.52
  6. Step 6: Final answer
    x = 18,458.15

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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.