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Finding the Fourth Proportional to 140,419.88, 210,588.20 and 40,580.97

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Solution

The fourth proportional to 140,419.88, 210,588.20 and 40,580.97 is: 60,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,419.88 : 210,588.20 = 40,580.97 : x
  2. Step 2: Convert to fraction form
    140,419.88/210,588.20 = 40,580.97/x
  3. Step 3: Cross multiply
    140,419.88x = 210,588.20 × 40,580.97
  4. Step 4: Simplify right side
    140,419.88x = 8,545,873,426.55
  5. Step 5: Solve for x
    x = 8,545,873,426.55/140,419.88
  6. Step 6: Final answer
    x = 60,859.43

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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.