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Finding the Fourth Proportional to 76,818.87, 106,010.46 and 42,829.50

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Solution

The fourth proportional to 76,818.87, 106,010.46 and 42,829.50 is: 59,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,818.87 : 106,010.46 = 42,829.50 : x
  2. Step 2: Convert to fraction form
    76,818.87/106,010.46 = 42,829.50/x
  3. Step 3: Cross multiply
    76,818.87x = 106,010.46 × 42,829.50
  4. Step 4: Simplify right side
    76,818.87x = 4,540,374,996.57
  5. Step 5: Solve for x
    x = 4,540,374,996.57/76,818.87
  6. Step 6: Final answer
    x = 59,104.94

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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.