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Finding the Fourth Proportional to 77,406.86, 106,808.27 and 43,409.94

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Solution

The fourth proportional to 77,406.86, 106,808.27 and 43,409.94 is: 59,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406.86 : 106,808.27 = 43,409.94 : x
  2. Step 2: Convert to fraction form
    77,406.86/106,808.27 = 43,409.94/x
  3. Step 3: Cross multiply
    77,406.86x = 106,808.27 × 43,409.94
  4. Step 4: Simplify right side
    77,406.86x = 4,636,540,375.15
  5. Step 5: Solve for x
    x = 4,636,540,375.15/77,406.86
  6. Step 6: Final answer
    x = 59,898.32

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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.