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Finding the Fourth Proportional to 76,549.86, 105,634.53 and 43,015.86

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Solution

The fourth proportional to 76,549.86, 105,634.53 and 43,015.86 is: 59,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,549.86 : 105,634.53 = 43,015.86 : x
  2. Step 2: Convert to fraction form
    76,549.86/105,634.53 = 43,015.86/x
  3. Step 3: Cross multiply
    76,549.86x = 105,634.53 × 43,015.86
  4. Step 4: Simplify right side
    76,549.86x = 4,543,960,153.65
  5. Step 5: Solve for x
    x = 4,543,960,153.65/76,549.86
  6. Step 6: Final answer
    x = 59,359.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.