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Finding the Fourth Proportional to 84,125.99, 126,171.15 and 31,539.35

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Solution

The fourth proportional to 84,125.99, 126,171.15 and 31,539.35 is: 47,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,125.99 : 126,171.15 = 31,539.35 : x
  2. Step 2: Convert to fraction form
    84,125.99/126,171.15 = 31,539.35/x
  3. Step 3: Cross multiply
    84,125.99x = 126,171.15 × 31,539.35
  4. Step 4: Simplify right side
    84,125.99x = 3,979,356,059.75
  5. Step 5: Solve for x
    x = 3,979,356,059.75/84,125.99
  6. Step 6: Final answer
    x = 47,302.34

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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.