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Finding the Fourth Proportional to 123,428.80, 185,143.20 and 81,438.40

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Solution

The fourth proportional to 123,428.80, 185,143.20 and 81,438.40 is: 122,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,428.80 : 185,143.20 = 81,438.40 : x
  2. Step 2: Convert to fraction form
    123,428.80/185,143.20 = 81,438.40/x
  3. Step 3: Cross multiply
    123,428.80x = 185,143.20 × 81,438.40
  4. Step 4: Simplify right side
    123,428.80x = 15,077,765,978.88
  5. Step 5: Solve for x
    x = 15,077,765,978.88/123,428.80
  6. Step 6: Final answer
    x = 122,157.60

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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.