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Finding the Fourth Proportional to 66,850.79, 100,254.31 and 31,301.10

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Solution

The fourth proportional to 66,850.79, 100,254.31 and 31,301.10 is: 46,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,850.79 : 100,254.31 = 31,301.10 : x
  2. Step 2: Convert to fraction form
    66,850.79/100,254.31 = 31,301.10/x
  3. Step 3: Cross multiply
    66,850.79x = 100,254.31 × 31,301.10
  4. Step 4: Simplify right side
    66,850.79x = 3,138,070,104.49
  5. Step 5: Solve for x
    x = 3,138,070,104.49/66,850.79
  6. Step 6: Final answer
    x = 46,941.41

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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.