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Finding the Fourth Proportional to 142,201.81, 196,221.71 and 78,535.81

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Solution

The fourth proportional to 142,201.81, 196,221.71 and 78,535.81 is: 108,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,201.81 : 196,221.71 = 78,535.81 : x
  2. Step 2: Convert to fraction form
    142,201.81/196,221.71 = 78,535.81/x
  3. Step 3: Cross multiply
    142,201.81x = 196,221.71 × 78,535.81
  4. Step 4: Simplify right side
    142,201.81x = 15,410,429,560.65
  5. Step 5: Solve for x
    x = 15,410,429,560.65/142,201.81
  6. Step 6: Final answer
    x = 108,370.14

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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.