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Finding the Fourth Proportional to 243,809.47, 336,309.94 and 161,023.96

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Solution

The fourth proportional to 243,809.47, 336,309.94 and 161,023.96 is: 222,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,809.47 : 336,309.94 = 161,023.96 : x
  2. Step 2: Convert to fraction form
    243,809.47/336,309.94 = 161,023.96/x
  3. Step 3: Cross multiply
    243,809.47x = 336,309.94 × 161,023.96
  4. Step 4: Simplify right side
    243,809.47x = 54,153,957,686.67
  5. Step 5: Solve for x
    x = 54,153,957,686.67/243,809.47
  6. Step 6: Final answer
    x = 222,115.89

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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.