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Finding the Fourth Proportional to 229,900, 317,262 and 129,300.16

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Solution

The fourth proportional to 229,900, 317,262 and 129,300.16 is: 178,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,900 : 317,262 = 129,300.16 : x
  2. Step 2: Convert to fraction form
    229,900/317,262 = 129,300.16/x
  3. Step 3: Cross multiply
    229,900x = 317,262 × 129,300.16
  4. Step 4: Simplify right side
    229,900x = 41,022,027,361.92
  5. Step 5: Solve for x
    x = 41,022,027,361.92/229,900
  6. Step 6: Final answer
    x = 178,434.22

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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.