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Finding the Fourth Proportional to 125,429.58, 172,978.37 and 82,391.81

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Solution

The fourth proportional to 125,429.58, 172,978.37 and 82,391.81 is: 113,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,429.58 : 172,978.37 = 82,391.81 : x
  2. Step 2: Convert to fraction form
    125,429.58/172,978.37 = 82,391.81/x
  3. Step 3: Cross multiply
    125,429.58x = 172,978.37 × 82,391.81
  4. Step 4: Simplify right side
    125,429.58x = 14,252,000,861.36
  5. Step 5: Solve for x
    x = 14,252,000,861.36/125,429.58
  6. Step 6: Final answer
    x = 113,625.52

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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.