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Finding the Fourth Proportional to 229,099.64, 316,142.31 and 127,118.64

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Solution

The fourth proportional to 229,099.64, 316,142.31 and 127,118.64 is: 175,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,099.64 : 316,142.31 = 127,118.64 : x
  2. Step 2: Convert to fraction form
    229,099.64/316,142.31 = 127,118.64/x
  3. Step 3: Cross multiply
    229,099.64x = 316,142.31 × 127,118.64
  4. Step 4: Simplify right side
    229,099.64x = 40,187,580,493.66
  5. Step 5: Solve for x
    x = 40,187,580,493.66/229,099.64
  6. Step 6: Final answer
    x = 175,415.29

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1.5x scale

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.