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Finding the Fourth Proportional to 82,446.60, 123,669.90 and 77,853.90

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Solution

The fourth proportional to 82,446.60, 123,669.90 and 77,853.90 is: 116,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,446.60 : 123,669.90 = 77,853.90 : x
  2. Step 2: Convert to fraction form
    82,446.60/123,669.90 = 77,853.90/x
  3. Step 3: Cross multiply
    82,446.60x = 123,669.90 × 77,853.90
  4. Step 4: Simplify right side
    82,446.60x = 9,628,184,027.61
  5. Step 5: Solve for x
    x = 9,628,184,027.61/82,446.60
  6. Step 6: Final answer
    x = 116,780.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.