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Finding the Fourth Proportional to 76,134.84, 105,065.54 and 43,857.68

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Solution

The fourth proportional to 76,134.84, 105,065.54 and 43,857.68 is: 60,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,134.84 : 105,065.54 = 43,857.68 : x
  2. Step 2: Convert to fraction form
    76,134.84/105,065.54 = 43,857.68/x
  3. Step 3: Cross multiply
    76,134.84x = 105,065.54 × 43,857.68
  4. Step 4: Simplify right side
    76,134.84x = 4,607,930,832.35
  5. Step 5: Solve for x
    x = 4,607,930,832.35/76,134.84
  6. Step 6: Final answer
    x = 60,523.29

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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.