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Finding the Fourth Proportional to 112,126, 154,744.80 and 61,825

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Solution

The fourth proportional to 112,126, 154,744.80 and 61,825 is: 85,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,126 : 154,744.80 = 61,825 : x
  2. Step 2: Convert to fraction form
    112,126/154,744.80 = 61,825/x
  3. Step 3: Cross multiply
    112,126x = 154,744.80 × 61,825
  4. Step 4: Simplify right side
    112,126x = 9,567,097,260
  5. Step 5: Solve for x
    x = 9,567,097,260/112,126
  6. Step 6: Final answer
    x = 85,324.52

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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.