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Finding the Fourth Proportional to 229,354.64, 316,509.72 and 128,753.36

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Solution

The fourth proportional to 229,354.64, 316,509.72 and 128,753.36 is: 177,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,354.64 : 316,509.72 = 128,753.36 : x
  2. Step 2: Convert to fraction form
    229,354.64/316,509.72 = 128,753.36/x
  3. Step 3: Cross multiply
    229,354.64x = 316,509.72 × 128,753.36
  4. Step 4: Simplify right side
    229,354.64x = 40,751,689,922.66
  5. Step 5: Solve for x
    x = 40,751,689,922.66/229,354.64
  6. Step 6: Final answer
    x = 177,679.81

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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.