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Finding the Fourth Proportional to 188,172.80, 282,259.20 and 146,650.88

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Solution

The fourth proportional to 188,172.80, 282,259.20 and 146,650.88 is: 219,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,172.80 : 282,259.20 = 146,650.88 : x
  2. Step 2: Convert to fraction form
    188,172.80/282,259.20 = 146,650.88/x
  3. Step 3: Cross multiply
    188,172.80x = 282,259.20 × 146,650.88
  4. Step 4: Simplify right side
    188,172.80x = 41,393,560,068.10
  5. Step 5: Solve for x
    x = 41,393,560,068.10/188,172.80
  6. Step 6: Final answer
    x = 219,976.32

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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.