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Finding the Fourth Proportional to 226,901.80, 313,119.30 and 142,065.64

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Solution

The fourth proportional to 226,901.80, 313,119.30 and 142,065.64 is: 196,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,901.80 : 313,119.30 = 142,065.64 : x
  2. Step 2: Convert to fraction form
    226,901.80/313,119.30 = 142,065.64/x
  3. Step 3: Cross multiply
    226,901.80x = 313,119.30 × 142,065.64
  4. Step 4: Simplify right side
    226,901.80x = 44,483,493,750.85
  5. Step 5: Solve for x
    x = 44,483,493,750.85/226,901.80
  6. Step 6: Final answer
    x = 196,047.34

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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.