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Finding the Fourth Proportional to 123,982.60, 185,973.90 and 74,216.20

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Solution

The fourth proportional to 123,982.60, 185,973.90 and 74,216.20 is: 111,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,982.60 : 185,973.90 = 74,216.20 : x
  2. Step 2: Convert to fraction form
    123,982.60/185,973.90 = 74,216.20/x
  3. Step 3: Cross multiply
    123,982.60x = 185,973.90 × 74,216.20
  4. Step 4: Simplify right side
    123,982.60x = 13,802,276,157.18
  5. Step 5: Solve for x
    x = 13,802,276,157.18/123,982.60
  6. Step 6: Final answer
    x = 111,324.30

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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.