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Finding the Fourth Proportional to 229,620, 316,765.19 and 149,072.79

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Solution

The fourth proportional to 229,620, 316,765.19 and 149,072.79 is: 205,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,620 : 316,765.19 = 149,072.79 : x
  2. Step 2: Convert to fraction form
    229,620/316,765.19 = 149,072.79/x
  3. Step 3: Cross multiply
    229,620x = 316,765.19 × 149,072.79
  4. Step 4: Simplify right side
    229,620x = 47,221,069,902.82
  5. Step 5: Solve for x
    x = 47,221,069,902.82/229,620
  6. Step 6: Final answer
    x = 205,648.77

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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.