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Finding the Fourth Proportional to 229,699.94, 317,003.62 and 137,822.65

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Solution

The fourth proportional to 229,699.94, 317,003.62 and 137,822.65 is: 190,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,699.94 : 317,003.62 = 137,822.65 : x
  2. Step 2: Convert to fraction form
    229,699.94/317,003.62 = 137,822.65/x
  3. Step 3: Cross multiply
    229,699.94x = 317,003.62 × 137,822.65
  4. Step 4: Simplify right side
    229,699.94x = 43,690,279,484.86
  5. Step 5: Solve for x
    x = 43,690,279,484.86/229,699.94
  6. Step 6: Final answer
    x = 190,205.88

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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.