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Finding the Fourth Proportional to 40,067.60, 60,106.80 and 13,780.40

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Solution

The fourth proportional to 40,067.60, 60,106.80 and 13,780.40 is: 20,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,067.60 : 60,106.80 = 13,780.40 : x
  2. Step 2: Convert to fraction form
    40,067.60/60,106.80 = 13,780.40/x
  3. Step 3: Cross multiply
    40,067.60x = 60,106.80 × 13,780.40
  4. Step 4: Simplify right side
    40,067.60x = 828,295,746.72
  5. Step 5: Solve for x
    x = 828,295,746.72/40,067.60
  6. Step 6: Final answer
    x = 20,672.46

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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.