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Finding the Fourth Proportional to 229,959.50, 317,354.57 and 127,991.48

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Solution

The fourth proportional to 229,959.50, 317,354.57 and 127,991.48 is: 176,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,959.50 : 317,354.57 = 127,991.48 : x
  2. Step 2: Convert to fraction form
    229,959.50/317,354.57 = 127,991.48/x
  3. Step 3: Cross multiply
    229,959.50x = 317,354.57 × 127,991.48
  4. Step 4: Simplify right side
    229,959.50x = 40,618,681,871.11
  5. Step 5: Solve for x
    x = 40,618,681,871.11/229,959.50
  6. Step 6: Final answer
    x = 176,634.06

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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.