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Finding the Fourth Proportional to 142,710.60, 213,912.30 and 53,929.80

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Solution

The fourth proportional to 142,710.60, 213,912.30 and 53,929.80 is: 80,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,710.60 : 213,912.30 = 53,929.80 : x
  2. Step 2: Convert to fraction form
    142,710.60/213,912.30 = 53,929.80/x
  3. Step 3: Cross multiply
    142,710.60x = 213,912.30 × 53,929.80
  4. Step 4: Simplify right side
    142,710.60x = 11,536,247,556.54
  5. Step 5: Solve for x
    x = 11,536,247,556.54/142,710.60
  6. Step 6: Final answer
    x = 80,836.66

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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.