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Finding the Fourth Proportional to 229,728.12, 316,978.32 and 134,216.36

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Solution

The fourth proportional to 229,728.12, 316,978.32 and 134,216.36 is: 185,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,728.12 : 316,978.32 = 134,216.36 : x
  2. Step 2: Convert to fraction form
    229,728.12/316,978.32 = 134,216.36/x
  3. Step 3: Cross multiply
    229,728.12x = 316,978.32 × 134,216.36
  4. Step 4: Simplify right side
    229,728.12x = 42,543,676,309.32
  5. Step 5: Solve for x
    x = 42,543,676,309.32/229,728.12
  6. Step 6: Final answer
    x = 185,191.42

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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.