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Finding the Fourth Proportional to 70,140.81, 96,794.83 and 38,309.71

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Solution

The fourth proportional to 70,140.81, 96,794.83 and 38,309.71 is: 52,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,140.81 : 96,794.83 = 38,309.71 : x
  2. Step 2: Convert to fraction form
    70,140.81/96,794.83 = 38,309.71/x
  3. Step 3: Cross multiply
    70,140.81x = 96,794.83 × 38,309.71
  4. Step 4: Simplify right side
    70,140.81x = 3,708,181,191.28
  5. Step 5: Solve for x
    x = 3,708,181,191.28/70,140.81
  6. Step 6: Final answer
    x = 52,867.67

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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.