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Finding the Fourth Proportional to 223,112.86, 307,894.03 and 121,136.31

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Solution

The fourth proportional to 223,112.86, 307,894.03 and 121,136.31 is: 167,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,112.86 : 307,894.03 = 121,136.31 : x
  2. Step 2: Convert to fraction form
    223,112.86/307,894.03 = 121,136.31/x
  3. Step 3: Cross multiply
    223,112.86x = 307,894.03 × 121,136.31
  4. Step 4: Simplify right side
    223,112.86x = 37,297,146,665.23
  5. Step 5: Solve for x
    x = 37,297,146,665.23/223,112.86
  6. Step 6: Final answer
    x = 167,167.18

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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.