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Finding the Fourth Proportional to 73,414.40, 110,110.80 and 20,829.20

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Solution

The fourth proportional to 73,414.40, 110,110.80 and 20,829.20 is: 31,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,414.40 : 110,110.80 = 20,829.20 : x
  2. Step 2: Convert to fraction form
    73,414.40/110,110.80 = 20,829.20/x
  3. Step 3: Cross multiply
    73,414.40x = 110,110.80 × 20,829.20
  4. Step 4: Simplify right side
    73,414.40x = 2,293,519,875.36
  5. Step 5: Solve for x
    x = 2,293,519,875.36/73,414.40
  6. Step 6: Final answer
    x = 31,240.74

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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.