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Finding the Fourth Proportional to 213,086.76, 319,682.18 and 70,931.76

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Solution

The fourth proportional to 213,086.76, 319,682.18 and 70,931.76 is: 106,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,086.76 : 319,682.18 = 70,931.76 : x
  2. Step 2: Convert to fraction form
    213,086.76/319,682.18 = 70,931.76/x
  3. Step 3: Cross multiply
    213,086.76x = 319,682.18 × 70,931.76
  4. Step 4: Simplify right side
    213,086.76x = 22,675,619,668.04
  5. Step 5: Solve for x
    x = 22,675,619,668.04/213,086.76
  6. Step 6: Final answer
    x = 106,414.96

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1.5x scale

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.