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Finding the Fourth Proportional to 76,235.60, 105,241.94 and 50,784.86

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Solution

The fourth proportional to 76,235.60, 105,241.94 and 50,784.86 is: 70,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,235.60 : 105,241.94 = 50,784.86 : x
  2. Step 2: Convert to fraction form
    76,235.60/105,241.94 = 50,784.86/x
  3. Step 3: Cross multiply
    76,235.60x = 105,241.94 × 50,784.86
  4. Step 4: Simplify right side
    76,235.60x = 5,344,696,408.89
  5. Step 5: Solve for x
    x = 5,344,696,408.89/76,235.60
  6. Step 6: Final answer
    x = 70,107.62

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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.