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Finding the Fourth Proportional to 76,715.76, 105,900.48 and 51,579.84

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Solution

The fourth proportional to 76,715.76, 105,900.48 and 51,579.84 is: 71,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,715.76 : 105,900.48 = 51,579.84 : x
  2. Step 2: Convert to fraction form
    76,715.76/105,900.48 = 51,579.84/x
  3. Step 3: Cross multiply
    76,715.76x = 105,900.48 × 51,579.84
  4. Step 4: Simplify right side
    76,715.76x = 5,462,329,814.32
  5. Step 5: Solve for x
    x = 5,462,329,814.32/76,715.76
  6. Step 6: Final answer
    x = 71,202.19

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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.