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Finding the Fourth Proportional to 76,690, 105,804.79 and 44,406.98

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Solution

The fourth proportional to 76,690, 105,804.79 and 44,406.98 is: 61,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,690 : 105,804.79 = 44,406.98 : x
  2. Step 2: Convert to fraction form
    76,690/105,804.79 = 44,406.98/x
  3. Step 3: Cross multiply
    76,690x = 105,804.79 × 44,406.98
  4. Step 4: Simplify right side
    76,690x = 4,698,471,193.43
  5. Step 5: Solve for x
    x = 4,698,471,193.43/76,690
  6. Step 6: Final answer
    x = 61,265.76

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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.