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Finding the Fourth Proportional to 123,409.92, 185,188.96 and 53,289.20

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Solution

The fourth proportional to 123,409.92, 185,188.96 and 53,289.20 is: 79,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,409.92 : 185,188.96 = 53,289.20 : x
  2. Step 2: Convert to fraction form
    123,409.92/185,188.96 = 53,289.20/x
  3. Step 3: Cross multiply
    123,409.92x = 185,188.96 × 53,289.20
  4. Step 4: Simplify right side
    123,409.92x = 9,868,571,527.23
  5. Step 5: Solve for x
    x = 9,868,571,527.23/123,409.92
  6. Step 6: Final answer
    x = 79,965.79

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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.