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Finding the Fourth Proportional to 78,438.68, 108,246.21 and 42,628.69

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Solution

The fourth proportional to 78,438.68, 108,246.21 and 42,628.69 is: 58,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,438.68 : 108,246.21 = 42,628.69 : x
  2. Step 2: Convert to fraction form
    78,438.68/108,246.21 = 42,628.69/x
  3. Step 3: Cross multiply
    78,438.68x = 108,246.21 × 42,628.69
  4. Step 4: Simplify right side
    78,438.68x = 4,614,393,375.39
  5. Step 5: Solve for x
    x = 4,614,393,375.39/78,438.68
  6. Step 6: Final answer
    x = 58,828.04

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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.