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Finding the Fourth Proportional to 229,728.12, 316,964.88 and 134,180.52

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Solution

The fourth proportional to 229,728.12, 316,964.88 and 134,180.52 is: 185,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,728.12 : 316,964.88 = 134,180.52 : x
  2. Step 2: Convert to fraction form
    229,728.12/316,964.88 = 134,180.52/x
  3. Step 3: Cross multiply
    229,728.12x = 316,964.88 × 134,180.52
  4. Step 4: Simplify right side
    229,728.12x = 42,530,512,420.14
  5. Step 5: Solve for x
    x = 42,530,512,420.14/229,728.12
  6. Step 6: Final answer
    x = 185,134.12

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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.