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Finding the Fourth Proportional to 77,817.45, 107,821.77 and 76,135.89

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Solution

The fourth proportional to 77,817.45, 107,821.77 and 76,135.89 is: 105,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,817.45 : 107,821.77 = 76,135.89 : x
  2. Step 2: Convert to fraction form
    77,817.45/107,821.77 = 76,135.89/x
  3. Step 3: Cross multiply
    77,817.45x = 107,821.77 × 76,135.89
  4. Step 4: Simplify right side
    77,817.45x = 8,209,106,420.33
  5. Step 5: Solve for x
    x = 8,209,106,420.33/77,817.45
  6. Step 6: Final answer
    x = 105,491.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.