Home / 205,212.34-283,178.46-120,313

Finding the Fourth Proportional to 205,212.34, 283,178.46 and 120,313

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Solution

The fourth proportional to 205,212.34, 283,178.46 and 120,313 is: 166,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,212.34 : 283,178.46 = 120,313 : x
  2. Step 2: Convert to fraction form
    205,212.34/283,178.46 = 120,313/x
  3. Step 3: Cross multiply
    205,212.34x = 283,178.46 × 120,313
  4. Step 4: Simplify right side
    205,212.34x = 34,070,050,057.98
  5. Step 5: Solve for x
    x = 34,070,050,057.98/205,212.34
  6. Step 6: Final answer
    x = 166,023.40

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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.