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Finding the Fourth Proportional to 207,419.88, 311,194.38 and 74,301.28

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Solution

The fourth proportional to 207,419.88, 311,194.38 and 74,301.28 is: 111,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,419.88 : 311,194.38 = 74,301.28 : x
  2. Step 2: Convert to fraction form
    207,419.88/311,194.38 = 74,301.28/x
  3. Step 3: Cross multiply
    207,419.88x = 311,194.38 × 74,301.28
  4. Step 4: Simplify right side
    207,419.88x = 23,122,140,762.81
  5. Step 5: Solve for x
    x = 23,122,140,762.81/207,419.88
  6. Step 6: Final answer
    x = 111,475.05

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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.