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Finding the Fourth Proportional to 229,643.64, 316,912.50 and 127,677.60

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Solution

The fourth proportional to 229,643.64, 316,912.50 and 127,677.60 is: 176,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,643.64 : 316,912.50 = 127,677.60 : x
  2. Step 2: Convert to fraction form
    229,643.64/316,912.50 = 127,677.60/x
  3. Step 3: Cross multiply
    229,643.64x = 316,912.50 × 127,677.60
  4. Step 4: Simplify right side
    229,643.64x = 40,462,627,410
  5. Step 5: Solve for x
    x = 40,462,627,410/229,643.64
  6. Step 6: Final answer
    x = 176,197.47

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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.