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Finding the Fourth Proportional to 123,419.20, 185,128.80 and 113,796.40

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Solution

The fourth proportional to 123,419.20, 185,128.80 and 113,796.40 is: 170,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,419.20 : 185,128.80 = 113,796.40 : x
  2. Step 2: Convert to fraction form
    123,419.20/185,128.80 = 113,796.40/x
  3. Step 3: Cross multiply
    123,419.20x = 185,128.80 × 113,796.40
  4. Step 4: Simplify right side
    123,419.20x = 21,066,990,976.32
  5. Step 5: Solve for x
    x = 21,066,990,976.32/123,419.20
  6. Step 6: Final answer
    x = 170,694.60

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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.