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Finding the Fourth Proportional to 123,619.20, 185,428.80 and 30,125.76

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Solution

The fourth proportional to 123,619.20, 185,428.80 and 30,125.76 is: 45,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,619.20 : 185,428.80 = 30,125.76 : x
  2. Step 2: Convert to fraction form
    123,619.20/185,428.80 = 30,125.76/x
  3. Step 3: Cross multiply
    123,619.20x = 185,428.80 × 30,125.76
  4. Step 4: Simplify right side
    123,619.20x = 5,586,183,525.89
  5. Step 5: Solve for x
    x = 5,586,183,525.89/123,619.20
  6. Step 6: Final answer
    x = 45,188.64

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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.