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Finding the Fourth Proportional to 125,379.40, 172,978.16 and 82,382.04

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Solution

The fourth proportional to 125,379.40, 172,978.16 and 82,382.04 is: 113,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,379.40 : 172,978.16 = 82,382.04 : x
  2. Step 2: Convert to fraction form
    125,379.40/172,978.16 = 82,382.04/x
  3. Step 3: Cross multiply
    125,379.40x = 172,978.16 × 82,382.04
  4. Step 4: Simplify right side
    125,379.40x = 14,250,293,696.25
  5. Step 5: Solve for x
    x = 14,250,293,696.25/125,379.40
  6. Step 6: Final answer
    x = 113,657.38

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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.