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Finding the Fourth Proportional to 48,942.40, 73,442.40 and 17,780.80

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Solution

The fourth proportional to 48,942.40, 73,442.40 and 17,780.80 is: 26,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,942.40 : 73,442.40 = 17,780.80 : x
  2. Step 2: Convert to fraction form
    48,942.40/73,442.40 = 17,780.80/x
  3. Step 3: Cross multiply
    48,942.40x = 73,442.40 × 17,780.80
  4. Step 4: Simplify right side
    48,942.40x = 1,305,864,625.92
  5. Step 5: Solve for x
    x = 1,305,864,625.92/48,942.40
  6. Step 6: Final answer
    x = 26,681.66

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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.