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Finding the Fourth Proportional to 219,783.93, 303,316.40 and 122,996.88

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Solution

The fourth proportional to 219,783.93, 303,316.40 and 122,996.88 is: 169,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,783.93 : 303,316.40 = 122,996.88 : x
  2. Step 2: Convert to fraction form
    219,783.93/303,316.40 = 122,996.88/x
  3. Step 3: Cross multiply
    219,783.93x = 303,316.40 × 122,996.88
  4. Step 4: Simplify right side
    219,783.93x = 37,306,970,468.47
  5. Step 5: Solve for x
    x = 37,306,970,468.47/219,783.93
  6. Step 6: Final answer
    x = 169,743.85

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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.