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Finding the Fourth Proportional to 229,704.94, 317,010.52 and 137,827.66

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Solution

The fourth proportional to 229,704.94, 317,010.52 and 137,827.66 is: 190,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,704.94 : 317,010.52 = 137,827.66 : x
  2. Step 2: Convert to fraction form
    229,704.94/317,010.52 = 137,827.66/x
  3. Step 3: Cross multiply
    229,704.94x = 317,010.52 × 137,827.66
  4. Step 4: Simplify right side
    229,704.94x = 43,692,818,166.98
  5. Step 5: Solve for x
    x = 43,692,818,166.98/229,704.94
  6. Step 6: Final answer
    x = 190,212.79

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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.