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Finding the Fourth Proportional to 220,712.88, 331,214.76 and 120,943.14

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Solution

The fourth proportional to 220,712.88, 331,214.76 and 120,943.14 is: 181,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,712.88 : 331,214.76 = 120,943.14 : x
  2. Step 2: Convert to fraction form
    220,712.88/331,214.76 = 120,943.14/x
  3. Step 3: Cross multiply
    220,712.88x = 331,214.76 × 120,943.14
  4. Step 4: Simplify right side
    220,712.88x = 40,058,153,088.75
  5. Step 5: Solve for x
    x = 40,058,153,088.75/220,712.88
  6. Step 6: Final answer
    x = 181,494.41

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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.