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Finding the Fourth Proportional to 229,965.88, 317,357.77 and 129,363.88

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Solution

The fourth proportional to 229,965.88, 317,357.77 and 129,363.88 is: 178,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,965.88 : 317,357.77 = 129,363.88 : x
  2. Step 2: Convert to fraction form
    229,965.88/317,357.77 = 129,363.88/x
  3. Step 3: Cross multiply
    229,965.88x = 317,357.77 × 129,363.88
  4. Step 4: Simplify right side
    229,965.88x = 41,054,632,475.35
  5. Step 5: Solve for x
    x = 41,054,632,475.35/229,965.88
  6. Step 6: Final answer
    x = 178,524.89

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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.