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Finding the Fourth Proportional to 76,892.80, 105,954.60 and 56,717.77

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Solution

The fourth proportional to 76,892.80, 105,954.60 and 56,717.77 is: 78,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,892.80 : 105,954.60 = 56,717.77 : x
  2. Step 2: Convert to fraction form
    76,892.80/105,954.60 = 56,717.77/x
  3. Step 3: Cross multiply
    76,892.80x = 105,954.60 × 56,717.77
  4. Step 4: Simplify right side
    76,892.80x = 6,009,508,633.24
  5. Step 5: Solve for x
    x = 6,009,508,633.24/76,892.80
  6. Step 6: Final answer
    x = 78,154.37

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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.