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Finding the Fourth Proportional to 229,678.49, 316,974.07 and 137,801.23

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Solution

The fourth proportional to 229,678.49, 316,974.07 and 137,801.23 is: 190,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,678.49 : 316,974.07 = 137,801.23 : x
  2. Step 2: Convert to fraction form
    229,678.49/316,974.07 = 137,801.23/x
  3. Step 3: Cross multiply
    229,678.49x = 316,974.07 × 137,801.23
  4. Step 4: Simplify right side
    229,678.49x = 43,679,416,540.05
  5. Step 5: Solve for x
    x = 43,679,416,540.05/229,678.49
  6. Step 6: Final answer
    x = 190,176.35

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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.