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Finding the Fourth Proportional to 192,705.80, 288,684.60 and 142,012.76

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Solution

The fourth proportional to 192,705.80, 288,684.60 and 142,012.76 is: 212,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,705.80 : 288,684.60 = 142,012.76 : x
  2. Step 2: Convert to fraction form
    192,705.80/288,684.60 = 142,012.76/x
  3. Step 3: Cross multiply
    192,705.80x = 288,684.60 × 142,012.76
  4. Step 4: Simplify right side
    192,705.80x = 40,996,896,815.50
  5. Step 5: Solve for x
    x = 40,996,896,815.50/192,705.80
  6. Step 6: Final answer
    x = 212,743.45

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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.