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Finding the Fourth Proportional to 220,159.76, 303,821.64 and 123,363.83

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Solution

The fourth proportional to 220,159.76, 303,821.64 and 123,363.83 is: 170,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,159.76 : 303,821.64 = 123,363.83 : x
  2. Step 2: Convert to fraction form
    220,159.76/303,821.64 = 123,363.83/x
  3. Step 3: Cross multiply
    220,159.76x = 303,821.64 × 123,363.83
  4. Step 4: Simplify right side
    220,159.76x = 37,480,599,628.17
  5. Step 5: Solve for x
    x = 37,480,599,628.17/220,159.76
  6. Step 6: Final answer
    x = 170,242.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.