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Finding the Fourth Proportional to 113,435.84, 169,992.48 and 83,619.20

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Solution

The fourth proportional to 113,435.84, 169,992.48 and 83,619.20 is: 125,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,435.84 : 169,992.48 = 83,619.20 : x
  2. Step 2: Convert to fraction form
    113,435.84/169,992.48 = 83,619.20/x
  3. Step 3: Cross multiply
    113,435.84x = 169,992.48 × 83,619.20
  4. Step 4: Simplify right side
    113,435.84x = 14,214,635,183.62
  5. Step 5: Solve for x
    x = 14,214,635,183.62/113,435.84
  6. Step 6: Final answer
    x = 125,309.91

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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.