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Finding the Fourth Proportional to 255,820.20, 353,024.10 and 142,662.12

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Solution

The fourth proportional to 255,820.20, 353,024.10 and 142,662.12 is: 196,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,820.20 : 353,024.10 = 142,662.12 : x
  2. Step 2: Convert to fraction form
    255,820.20/353,024.10 = 142,662.12/x
  3. Step 3: Cross multiply
    255,820.20x = 353,024.10 × 142,662.12
  4. Step 4: Simplify right side
    255,820.20x = 50,363,166,517.09
  5. Step 5: Solve for x
    x = 50,363,166,517.09/255,820.20
  6. Step 6: Final answer
    x = 196,869.39

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1.5x scale

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.