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Finding the Fourth Proportional to 229,656.75, 316,933.20 and 126,285.60

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Solution

The fourth proportional to 229,656.75, 316,933.20 and 126,285.60 is: 174,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,656.75 : 316,933.20 = 126,285.60 : x
  2. Step 2: Convert to fraction form
    229,656.75/316,933.20 = 126,285.60/x
  3. Step 3: Cross multiply
    229,656.75x = 316,933.20 × 126,285.60
  4. Step 4: Simplify right side
    229,656.75x = 40,024,099,321.92
  5. Step 5: Solve for x
    x = 40,024,099,321.92/229,656.75
  6. Step 6: Final answer
    x = 174,277.91

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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.