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Finding the Fourth Proportional to 78,673.68, 118,022.67 and 28,742.65

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Solution

The fourth proportional to 78,673.68, 118,022.67 and 28,742.65 is: 43,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,673.68 : 118,022.67 = 28,742.65 : x
  2. Step 2: Convert to fraction form
    78,673.68/118,022.67 = 28,742.65/x
  3. Step 3: Cross multiply
    78,673.68x = 118,022.67 × 28,742.65
  4. Step 4: Simplify right side
    78,673.68x = 3,392,284,000.82
  5. Step 5: Solve for x
    x = 3,392,284,000.82/78,673.68
  6. Step 6: Final answer
    x = 43,118.41

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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.