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Finding the Fourth Proportional to 76,842.31, 106,039.11 and 56,691.94

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Solution

The fourth proportional to 76,842.31, 106,039.11 and 56,691.94 is: 78,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.31 : 106,039.11 = 56,691.94 : x
  2. Step 2: Convert to fraction form
    76,842.31/106,039.11 = 56,691.94/x
  3. Step 3: Cross multiply
    76,842.31x = 106,039.11 × 56,691.94
  4. Step 4: Simplify right side
    76,842.31x = 6,011,562,861.77
  5. Step 5: Solve for x
    x = 6,011,562,861.77/76,842.31
  6. Step 6: Final answer
    x = 78,232.46

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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.