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Finding the Fourth Proportional to 345,101.68, 517,777.09 and 120,495.21

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Solution

The fourth proportional to 345,101.68, 517,777.09 and 120,495.21 is: 180,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,101.68 : 517,777.09 = 120,495.21 : x
  2. Step 2: Convert to fraction form
    345,101.68/517,777.09 = 120,495.21/x
  3. Step 3: Cross multiply
    345,101.68x = 517,777.09 × 120,495.21
  4. Step 4: Simplify right side
    345,101.68x = 62,389,659,192.74
  5. Step 5: Solve for x
    x = 62,389,659,192.74/345,101.68
  6. Step 6: Final answer
    x = 180,786.31

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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.