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Finding the Fourth Proportional to 78,209.80, 107,929.67 and 42,399.97

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Solution

The fourth proportional to 78,209.80, 107,929.67 and 42,399.97 is: 58,512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,209.80 : 107,929.67 = 42,399.97 : x
  2. Step 2: Convert to fraction form
    78,209.80/107,929.67 = 42,399.97/x
  3. Step 3: Cross multiply
    78,209.80x = 107,929.67 × 42,399.97
  4. Step 4: Simplify right side
    78,209.80x = 4,576,214,288.29
  5. Step 5: Solve for x
    x = 4,576,214,288.29/78,209.80
  6. Step 6: Final answer
    x = 58,512.03

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1.5x scale

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.