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Finding the Fourth Proportional to 125,327.84, 172,960.32 and 82,811.84

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Solution

The fourth proportional to 125,327.84, 172,960.32 and 82,811.84 is: 114,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,327.84 : 172,960.32 = 82,811.84 : x
  2. Step 2: Convert to fraction form
    125,327.84/172,960.32 = 82,811.84/x
  3. Step 3: Cross multiply
    125,327.84x = 172,960.32 × 82,811.84
  4. Step 4: Simplify right side
    125,327.84x = 14,323,162,346.19
  5. Step 5: Solve for x
    x = 14,323,162,346.19/125,327.84
  6. Step 6: Final answer
    x = 114,285.56

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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.