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Finding the Fourth Proportional to 223,463.58, 308,385.83 and 121,495.90

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Solution

The fourth proportional to 223,463.58, 308,385.83 and 121,495.90 is: 167,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,463.58 : 308,385.83 = 121,495.90 : x
  2. Step 2: Convert to fraction form
    223,463.58/308,385.83 = 121,495.90/x
  3. Step 3: Cross multiply
    223,463.58x = 308,385.83 × 121,495.90
  4. Step 4: Simplify right side
    223,463.58x = 37,467,613,963.10
  5. Step 5: Solve for x
    x = 37,467,613,963.10/223,463.58
  6. Step 6: Final answer
    x = 167,667.65

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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.