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Finding the Fourth Proportional to 229,698.78, 316,958.94 and 137,813.19

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Solution

The fourth proportional to 229,698.78, 316,958.94 and 137,813.19 is: 190,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,698.78 : 316,958.94 = 137,813.19 : x
  2. Step 2: Convert to fraction form
    229,698.78/316,958.94 = 137,813.19/x
  3. Step 3: Cross multiply
    229,698.78x = 316,958.94 × 137,813.19
  4. Step 4: Simplify right side
    229,698.78x = 43,681,122,620.42
  5. Step 5: Solve for x
    x = 43,681,122,620.42/229,698.78
  6. Step 6: Final answer
    x = 190,166.98

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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.