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Finding the Fourth Proportional to 102,078.80, 140,999.56 and 78,494.80

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Solution

The fourth proportional to 102,078.80, 140,999.56 and 78,494.80 is: 108,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,078.80 : 140,999.56 = 78,494.80 : x
  2. Step 2: Convert to fraction form
    102,078.80/140,999.56 = 78,494.80/x
  3. Step 3: Cross multiply
    102,078.80x = 140,999.56 × 78,494.80
  4. Step 4: Simplify right side
    102,078.80x = 11,067,732,262.29
  5. Step 5: Solve for x
    x = 11,067,732,262.29/102,078.80
  6. Step 6: Final answer
    x = 108,423.42

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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.