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Finding the Fourth Proportional to 125,806.10, 188,719.40 and 35,855.70

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Solution

The fourth proportional to 125,806.10, 188,719.40 and 35,855.70 is: 53,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,806.10 : 188,719.40 = 35,855.70 : x
  2. Step 2: Convert to fraction form
    125,806.10/188,719.40 = 35,855.70/x
  3. Step 3: Cross multiply
    125,806.10x = 188,719.40 × 35,855.70
  4. Step 4: Simplify right side
    125,806.10x = 6,766,666,011.30
  5. Step 5: Solve for x
    x = 6,766,666,011.30/125,806.10
  6. Step 6: Final answer
    x = 53,786.47

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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.