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Finding the Fourth Proportional to 152,893.80, 229,340.70 and 129,274.20

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Solution

The fourth proportional to 152,893.80, 229,340.70 and 129,274.20 is: 193,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,893.80 : 229,340.70 = 129,274.20 : x
  2. Step 2: Convert to fraction form
    152,893.80/229,340.70 = 129,274.20/x
  3. Step 3: Cross multiply
    152,893.80x = 229,340.70 × 129,274.20
  4. Step 4: Simplify right side
    152,893.80x = 29,647,835,519.94
  5. Step 5: Solve for x
    x = 29,647,835,519.94/152,893.80
  6. Step 6: Final answer
    x = 193,911.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.