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Finding the Fourth Proportional to 213,959.76, 295,274.61 and 129,075

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Solution

The fourth proportional to 213,959.76, 295,274.61 and 129,075 is: 178,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,959.76 : 295,274.61 = 129,075 : x
  2. Step 2: Convert to fraction form
    213,959.76/295,274.61 = 129,075/x
  3. Step 3: Cross multiply
    213,959.76x = 295,274.61 × 129,075
  4. Step 4: Simplify right side
    213,959.76x = 38,112,570,285.75
  5. Step 5: Solve for x
    x = 38,112,570,285.75/213,959.76
  6. Step 6: Final answer
    x = 178,129.62

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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.